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Finding the Fourth Proportional to 1,587.59, 2,378.13 and 936.75

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Solution

The fourth proportional to 1,587.59, 2,378.13 and 936.75 is: 1,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.59 : 2,378.13 = 936.75 : x
  2. Step 2: Convert to fraction form
    1,587.59/2,378.13 = 936.75/x
  3. Step 3: Cross multiply
    1,587.59x = 2,378.13 × 936.75
  4. Step 4: Simplify right side
    1,587.59x = 2,227,713.28
  5. Step 5: Solve for x
    x = 2,227,713.28/1,587.59
  6. Step 6: Final answer
    x = 1,403.21

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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.