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Finding the Fourth Proportional to 3,061.91, 4,592.84 and 870.35

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Solution

The fourth proportional to 3,061.91, 4,592.84 and 870.35 is: 1,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.91 : 4,592.84 = 870.35 : x
  2. Step 2: Convert to fraction form
    3,061.91/4,592.84 = 870.35/x
  3. Step 3: Cross multiply
    3,061.91x = 4,592.84 × 870.35
  4. Step 4: Simplify right side
    3,061.91x = 3,997,388.69
  5. Step 5: Solve for x
    x = 3,997,388.69/3,061.91
  6. Step 6: Final answer
    x = 1,305.52

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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.