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Finding the Fourth Proportional to 1,909.74, 2,864.65 and 1,042.22

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Solution

The fourth proportional to 1,909.74, 2,864.65 and 1,042.22 is: 1,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.74 : 2,864.65 = 1,042.22 : x
  2. Step 2: Convert to fraction form
    1,909.74/2,864.65 = 1,042.22/x
  3. Step 3: Cross multiply
    1,909.74x = 2,864.65 × 1,042.22
  4. Step 4: Simplify right side
    1,909.74x = 2,985,595.52
  5. Step 5: Solve for x
    x = 2,985,595.52/1,909.74
  6. Step 6: Final answer
    x = 1,563.35

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1.5x scale

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.