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Finding the Fourth Proportional to 1,781.84, 2,672.40 and 483.40

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Solution

The fourth proportional to 1,781.84, 2,672.40 and 483.40 is: 725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.84 : 2,672.40 = 483.40 : x
  2. Step 2: Convert to fraction form
    1,781.84/2,672.40 = 483.40/x
  3. Step 3: Cross multiply
    1,781.84x = 2,672.40 × 483.40
  4. Step 4: Simplify right side
    1,781.84x = 1,291,838.16
  5. Step 5: Solve for x
    x = 1,291,838.16/1,781.84
  6. Step 6: Final answer
    x = 725.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.