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Finding the Fourth Proportional to 2,565.38, 3,540.22 and 1,386.45

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Solution

The fourth proportional to 2,565.38, 3,540.22 and 1,386.45 is: 1,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.38 : 3,540.22 = 1,386.45 : x
  2. Step 2: Convert to fraction form
    2,565.38/3,540.22 = 1,386.45/x
  3. Step 3: Cross multiply
    2,565.38x = 3,540.22 × 1,386.45
  4. Step 4: Simplify right side
    2,565.38x = 4,908,342.35
  5. Step 5: Solve for x
    x = 4,908,342.35/2,565.38
  6. Step 6: Final answer
    x = 1,913.30

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Why These Related Problems?

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