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Finding the Fourth Proportional to 2,565.42, 3,540.28 and 1,386.49

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Solution

The fourth proportional to 2,565.42, 3,540.28 and 1,386.49 is: 1,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.42 : 3,540.28 = 1,386.49 : x
  2. Step 2: Convert to fraction form
    2,565.42/3,540.28 = 1,386.49/x
  3. Step 3: Cross multiply
    2,565.42x = 3,540.28 × 1,386.49
  4. Step 4: Simplify right side
    2,565.42x = 4,908,573.59
  5. Step 5: Solve for x
    x = 4,908,573.59/2,565.42
  6. Step 6: Final answer
    x = 1,913.36

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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.