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Finding the Fourth Proportional to 1,560.34, 2,152.92 and 931.09

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Solution

The fourth proportional to 1,560.34, 2,152.92 and 931.09 is: 1,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.34 : 2,152.92 = 931.09 : x
  2. Step 2: Convert to fraction form
    1,560.34/2,152.92 = 931.09/x
  3. Step 3: Cross multiply
    1,560.34x = 2,152.92 × 931.09
  4. Step 4: Simplify right side
    1,560.34x = 2,004,562.28
  5. Step 5: Solve for x
    x = 2,004,562.28/1,560.34
  6. Step 6: Final answer
    x = 1,284.70

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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.