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Finding the Fourth Proportional to 1,791,600, 2,472,408 and 986,784

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Solution

The fourth proportional to 1,791,600, 2,472,408 and 986,784 is: 1,361,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,600 : 2,472,408 = 986,784 : x
  2. Step 2: Convert to fraction form
    1,791,600/2,472,408 = 986,784/x
  3. Step 3: Cross multiply
    1,791,600x = 2,472,408 × 986,784
  4. Step 4: Simplify right side
    1,791,600x = 2,439,732,655,872
  5. Step 5: Solve for x
    x = 2,439,732,655,872/1,791,600
  6. Step 6: Final answer
    x = 1,361,761.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.