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Finding the Fourth Proportional to 3,113.48, 4,298 and 1,854.96

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Solution

The fourth proportional to 3,113.48, 4,298 and 1,854.96 is: 2,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.48 : 4,298 = 1,854.96 : x
  2. Step 2: Convert to fraction form
    3,113.48/4,298 = 1,854.96/x
  3. Step 3: Cross multiply
    3,113.48x = 4,298 × 1,854.96
  4. Step 4: Simplify right side
    3,113.48x = 7,972,618.08
  5. Step 5: Solve for x
    x = 7,972,618.08/3,113.48
  6. Step 6: Final answer
    x = 2,560.68

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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.