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Finding the Fourth Proportional to 1,565.10, 2,347.65 and 836.10

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Solution

The fourth proportional to 1,565.10, 2,347.65 and 836.10 is: 1,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.10 : 2,347.65 = 836.10 : x
  2. Step 2: Convert to fraction form
    1,565.10/2,347.65 = 836.10/x
  3. Step 3: Cross multiply
    1,565.10x = 2,347.65 × 836.10
  4. Step 4: Simplify right side
    1,565.10x = 1,962,870.17
  5. Step 5: Solve for x
    x = 1,962,870.17/1,565.10
  6. Step 6: Final answer
    x = 1,254.15

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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.