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Finding the Fourth Proportional to 1,534.93, 2,117.05 and 974.92

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Solution

The fourth proportional to 1,534.93, 2,117.05 and 974.92 is: 1,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.93 : 2,117.05 = 974.92 : x
  2. Step 2: Convert to fraction form
    1,534.93/2,117.05 = 974.92/x
  3. Step 3: Cross multiply
    1,534.93x = 2,117.05 × 974.92
  4. Step 4: Simplify right side
    1,534.93x = 2,063,954.39
  5. Step 5: Solve for x
    x = 2,063,954.39/1,534.93
  6. Step 6: Final answer
    x = 1,344.66

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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.