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Finding the Fourth Proportional to 1,588.77, 2,382.95 and 1,002.03

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Solution

The fourth proportional to 1,588.77, 2,382.95 and 1,002.03 is: 1,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.77 : 2,382.95 = 1,002.03 : x
  2. Step 2: Convert to fraction form
    1,588.77/2,382.95 = 1,002.03/x
  3. Step 3: Cross multiply
    1,588.77x = 2,382.95 × 1,002.03
  4. Step 4: Simplify right side
    1,588.77x = 2,387,782.38
  5. Step 5: Solve for x
    x = 2,387,782.38/1,588.77
  6. Step 6: Final answer
    x = 1,502.91

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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.