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Finding the Fourth Proportional to 1,588.11, 2,381.52 and 613.59

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Solution

The fourth proportional to 1,588.11, 2,381.52 and 613.59 is: 920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.11 : 2,381.52 = 613.59 : x
  2. Step 2: Convert to fraction form
    1,588.11/2,381.52 = 613.59/x
  3. Step 3: Cross multiply
    1,588.11x = 2,381.52 × 613.59
  4. Step 4: Simplify right side
    1,588.11x = 1,461,276.86
  5. Step 5: Solve for x
    x = 1,461,276.86/1,588.11
  6. Step 6: Final answer
    x = 920.14

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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.