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Finding the Fourth Proportional to 1,609.32, 2,411.82 and 877.80

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Solution

The fourth proportional to 1,609.32, 2,411.82 and 877.80 is: 1,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.32 : 2,411.82 = 877.80 : x
  2. Step 2: Convert to fraction form
    1,609.32/2,411.82 = 877.80/x
  3. Step 3: Cross multiply
    1,609.32x = 2,411.82 × 877.80
  4. Step 4: Simplify right side
    1,609.32x = 2,117,095.60
  5. Step 5: Solve for x
    x = 2,117,095.60/1,609.32
  6. Step 6: Final answer
    x = 1,315.52

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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.