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Finding the Fourth Proportional to 1,602.40, 2,392.01 and 1,408

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Solution

The fourth proportional to 1,602.40, 2,392.01 and 1,408 is: 2,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.40 : 2,392.01 = 1,408 : x
  2. Step 2: Convert to fraction form
    1,602.40/2,392.01 = 1,408/x
  3. Step 3: Cross multiply
    1,602.40x = 2,392.01 × 1,408
  4. Step 4: Simplify right side
    1,602.40x = 3,367,950.08
  5. Step 5: Solve for x
    x = 3,367,950.08/1,602.40
  6. Step 6: Final answer
    x = 2,101.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.