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Finding the Fourth Proportional to 2,776.52, 4,159.28 and 1,458.29

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Solution

The fourth proportional to 2,776.52, 4,159.28 and 1,458.29 is: 2,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.52 : 4,159.28 = 1,458.29 : x
  2. Step 2: Convert to fraction form
    2,776.52/4,159.28 = 1,458.29/x
  3. Step 3: Cross multiply
    2,776.52x = 4,159.28 × 1,458.29
  4. Step 4: Simplify right side
    2,776.52x = 6,065,436.43
  5. Step 5: Solve for x
    x = 6,065,436.43/2,776.52
  6. Step 6: Final answer
    x = 2,184.55

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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.