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Finding the Fourth Proportional to 2,587.61, 3,566.75 and 1,748.04

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Solution

The fourth proportional to 2,587.61, 3,566.75 and 1,748.04 is: 2,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.61 : 3,566.75 = 1,748.04 : x
  2. Step 2: Convert to fraction form
    2,587.61/3,566.75 = 1,748.04/x
  3. Step 3: Cross multiply
    2,587.61x = 3,566.75 × 1,748.04
  4. Step 4: Simplify right side
    2,587.61x = 6,234,812.93
  5. Step 5: Solve for x
    x = 6,234,812.93/2,587.61
  6. Step 6: Final answer
    x = 2,409.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.