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Finding the Fourth Proportional to 1,702.61, 2,551.52 and 879.15

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Solution

The fourth proportional to 1,702.61, 2,551.52 and 879.15 is: 1,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.61 : 2,551.52 = 879.15 : x
  2. Step 2: Convert to fraction form
    1,702.61/2,551.52 = 879.15/x
  3. Step 3: Cross multiply
    1,702.61x = 2,551.52 × 879.15
  4. Step 4: Simplify right side
    1,702.61x = 2,243,164.41
  5. Step 5: Solve for x
    x = 2,243,164.41/1,702.61
  6. Step 6: Final answer
    x = 1,317.49

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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.