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Finding the Fourth Proportional to 2,574.48, 3,862.40 and 1,113.29

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Solution

The fourth proportional to 2,574.48, 3,862.40 and 1,113.29 is: 1,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.48 : 3,862.40 = 1,113.29 : x
  2. Step 2: Convert to fraction form
    2,574.48/3,862.40 = 1,113.29/x
  3. Step 3: Cross multiply
    2,574.48x = 3,862.40 × 1,113.29
  4. Step 4: Simplify right side
    2,574.48x = 4,299,946.42
  5. Step 5: Solve for x
    x = 4,299,946.42/2,574.48
  6. Step 6: Final answer
    x = 1,670.22

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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.