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Finding the Fourth Proportional to 2,756.76, 4,125.61 and 1,702.15

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Solution

The fourth proportional to 2,756.76, 4,125.61 and 1,702.15 is: 2,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.76 : 4,125.61 = 1,702.15 : x
  2. Step 2: Convert to fraction form
    2,756.76/4,125.61 = 1,702.15/x
  3. Step 3: Cross multiply
    2,756.76x = 4,125.61 × 1,702.15
  4. Step 4: Simplify right side
    2,756.76x = 7,022,407.06
  5. Step 5: Solve for x
    x = 7,022,407.06/2,756.76
  6. Step 6: Final answer
    x = 2,547.34

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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.