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Finding the Fourth Proportional to 1,565.90, 2,335.58 and 1,358.82

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Solution

The fourth proportional to 1,565.90, 2,335.58 and 1,358.82 is: 2,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.90 : 2,335.58 = 1,358.82 : x
  2. Step 2: Convert to fraction form
    1,565.90/2,335.58 = 1,358.82/x
  3. Step 3: Cross multiply
    1,565.90x = 2,335.58 × 1,358.82
  4. Step 4: Simplify right side
    1,565.90x = 3,173,636.21
  5. Step 5: Solve for x
    x = 3,173,636.21/1,565.90
  6. Step 6: Final answer
    x = 2,026.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.