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Finding the Fourth Proportional to 1,532.39, 2,115.11 and 973.49

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Solution

The fourth proportional to 1,532.39, 2,115.11 and 973.49 is: 1,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.39 : 2,115.11 = 973.49 : x
  2. Step 2: Convert to fraction form
    1,532.39/2,115.11 = 973.49/x
  3. Step 3: Cross multiply
    1,532.39x = 2,115.11 × 973.49
  4. Step 4: Simplify right side
    1,532.39x = 2,059,030.29
  5. Step 5: Solve for x
    x = 2,059,030.29/1,532.39
  6. Step 6: Final answer
    x = 1,343.68

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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.