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Finding the Fourth Proportional to 1,681.18, 2,522.04 and 585.86

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Solution

The fourth proportional to 1,681.18, 2,522.04 and 585.86 is: 878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.18 : 2,522.04 = 585.86 : x
  2. Step 2: Convert to fraction form
    1,681.18/2,522.04 = 585.86/x
  3. Step 3: Cross multiply
    1,681.18x = 2,522.04 × 585.86
  4. Step 4: Simplify right side
    1,681.18x = 1,477,562.35
  5. Step 5: Solve for x
    x = 1,477,562.35/1,681.18
  6. Step 6: Final answer
    x = 878.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.