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Finding the Fourth Proportional to 2,088.65, 3,131.16 and 1,047.20

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Solution

The fourth proportional to 2,088.65, 3,131.16 and 1,047.20 is: 1,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.65 : 3,131.16 = 1,047.20 : x
  2. Step 2: Convert to fraction form
    2,088.65/3,131.16 = 1,047.20/x
  3. Step 3: Cross multiply
    2,088.65x = 3,131.16 × 1,047.20
  4. Step 4: Simplify right side
    2,088.65x = 3,278,950.75
  5. Step 5: Solve for x
    x = 3,278,950.75/2,088.65
  6. Step 6: Final answer
    x = 1,569.89

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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.