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Finding the Fourth Proportional to 1,854.76, 2,560.26 and 1,156.12

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Solution

The fourth proportional to 1,854.76, 2,560.26 and 1,156.12 is: 1,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.76 : 2,560.26 = 1,156.12 : x
  2. Step 2: Convert to fraction form
    1,854.76/2,560.26 = 1,156.12/x
  3. Step 3: Cross multiply
    1,854.76x = 2,560.26 × 1,156.12
  4. Step 4: Simplify right side
    1,854.76x = 2,959,967.79
  5. Step 5: Solve for x
    x = 2,959,967.79/1,854.76
  6. Step 6: Final answer
    x = 1,595.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.