Home / 1,877.13-2,815.70-509.13

Finding the Fourth Proportional to 1,877.13, 2,815.70 and 509.13

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Solution

The fourth proportional to 1,877.13, 2,815.70 and 509.13 is: 763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.13 : 2,815.70 = 509.13 : x
  2. Step 2: Convert to fraction form
    1,877.13/2,815.70 = 509.13/x
  3. Step 3: Cross multiply
    1,877.13x = 2,815.70 × 509.13
  4. Step 4: Simplify right side
    1,877.13x = 1,433,557.34
  5. Step 5: Solve for x
    x = 1,433,557.34/1,877.13
  6. Step 6: Final answer
    x = 763.70

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