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Finding the Fourth Proportional to 1,402.59, 2,087.33 and 1,355.88

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Solution

The fourth proportional to 1,402.59, 2,087.33 and 1,355.88 is: 2,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.59 : 2,087.33 = 1,355.88 : x
  2. Step 2: Convert to fraction form
    1,402.59/2,087.33 = 1,355.88/x
  3. Step 3: Cross multiply
    1,402.59x = 2,087.33 × 1,355.88
  4. Step 4: Simplify right side
    1,402.59x = 2,830,169.00
  5. Step 5: Solve for x
    x = 2,830,169.00/1,402.59
  6. Step 6: Final answer
    x = 2,017.82

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