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Finding the Fourth Proportional to 1,587.35, 2,379.66 and 614.13

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Solution

The fourth proportional to 1,587.35, 2,379.66 and 614.13 is: 920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.35 : 2,379.66 = 614.13 : x
  2. Step 2: Convert to fraction form
    1,587.35/2,379.66 = 614.13/x
  3. Step 3: Cross multiply
    1,587.35x = 2,379.66 × 614.13
  4. Step 4: Simplify right side
    1,587.35x = 1,461,420.60
  5. Step 5: Solve for x
    x = 1,461,420.60/1,587.35
  6. Step 6: Final answer
    x = 920.67

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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.