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Finding the Fourth Proportional to 2,670.74, 3,685.56 and 1,475.66

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Solution

The fourth proportional to 2,670.74, 3,685.56 and 1,475.66 is: 2,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.74 : 3,685.56 = 1,475.66 : x
  2. Step 2: Convert to fraction form
    2,670.74/3,685.56 = 1,475.66/x
  3. Step 3: Cross multiply
    2,670.74x = 3,685.56 × 1,475.66
  4. Step 4: Simplify right side
    2,670.74x = 5,438,633.47
  5. Step 5: Solve for x
    x = 5,438,633.47/2,670.74
  6. Step 6: Final answer
    x = 2,036.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.