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Finding the Fourth Proportional to 2,374.76, 3,534.22 and 2,367.47

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Solution

The fourth proportional to 2,374.76, 3,534.22 and 2,367.47 is: 3,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.76 : 3,534.22 = 2,367.47 : x
  2. Step 2: Convert to fraction form
    2,374.76/3,534.22 = 2,367.47/x
  3. Step 3: Cross multiply
    2,374.76x = 3,534.22 × 2,367.47
  4. Step 4: Simplify right side
    2,374.76x = 8,367,159.82
  5. Step 5: Solve for x
    x = 8,367,159.82/2,374.76
  6. Step 6: Final answer
    x = 3,523.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.