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Finding the Fourth Proportional to 1,561.90, 2,342.04 and 781.06

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Solution

The fourth proportional to 1,561.90, 2,342.04 and 781.06 is: 1,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.90 : 2,342.04 = 781.06 : x
  2. Step 2: Convert to fraction form
    1,561.90/2,342.04 = 781.06/x
  3. Step 3: Cross multiply
    1,561.90x = 2,342.04 × 781.06
  4. Step 4: Simplify right side
    1,561.90x = 1,829,273.76
  5. Step 5: Solve for x
    x = 1,829,273.76/1,561.90
  6. Step 6: Final answer
    x = 1,171.18

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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.