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Finding the Fourth Proportional to 1,588.96, 2,384.88 and 1,125.40

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Solution

The fourth proportional to 1,588.96, 2,384.88 and 1,125.40 is: 1,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.96 : 2,384.88 = 1,125.40 : x
  2. Step 2: Convert to fraction form
    1,588.96/2,384.88 = 1,125.40/x
  3. Step 3: Cross multiply
    1,588.96x = 2,384.88 × 1,125.40
  4. Step 4: Simplify right side
    1,588.96x = 2,683,943.95
  5. Step 5: Solve for x
    x = 2,683,943.95/1,588.96
  6. Step 6: Final answer
    x = 1,689.12

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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.