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Finding the Fourth Proportional to 1,565.10, 2,159.64 and 1,040.22

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Solution

The fourth proportional to 1,565.10, 2,159.64 and 1,040.22 is: 1,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.10 : 2,159.64 = 1,040.22 : x
  2. Step 2: Convert to fraction form
    1,565.10/2,159.64 = 1,040.22/x
  3. Step 3: Cross multiply
    1,565.10x = 2,159.64 × 1,040.22
  4. Step 4: Simplify right side
    1,565.10x = 2,246,500.72
  5. Step 5: Solve for x
    x = 2,246,500.72/1,565.10
  6. Step 6: Final answer
    x = 1,435.37

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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.