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Finding the Fourth Proportional to 1,565.32, 2,347.14 and 1,498

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Solution

The fourth proportional to 1,565.32, 2,347.14 and 1,498 is: 2,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.32 : 2,347.14 = 1,498 : x
  2. Step 2: Convert to fraction form
    1,565.32/2,347.14 = 1,498/x
  3. Step 3: Cross multiply
    1,565.32x = 2,347.14 × 1,498
  4. Step 4: Simplify right side
    1,565.32x = 3,516,015.72
  5. Step 5: Solve for x
    x = 3,516,015.72/1,565.32
  6. Step 6: Final answer
    x = 2,246.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.