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Finding the Fourth Proportional to 1,702.52, 2,555.97 and 1,312.77

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Solution

The fourth proportional to 1,702.52, 2,555.97 and 1,312.77 is: 1,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.52 : 2,555.97 = 1,312.77 : x
  2. Step 2: Convert to fraction form
    1,702.52/2,555.97 = 1,312.77/x
  3. Step 3: Cross multiply
    1,702.52x = 2,555.97 × 1,312.77
  4. Step 4: Simplify right side
    1,702.52x = 3,355,400.74
  5. Step 5: Solve for x
    x = 3,355,400.74/1,702.52
  6. Step 6: Final answer
    x = 1,970.84

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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.