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Finding the Fourth Proportional to 2,373.53, 3,560.90 and 912.29

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Solution

The fourth proportional to 2,373.53, 3,560.90 and 912.29 is: 1,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.53 : 3,560.90 = 912.29 : x
  2. Step 2: Convert to fraction form
    2,373.53/3,560.90 = 912.29/x
  3. Step 3: Cross multiply
    2,373.53x = 3,560.90 × 912.29
  4. Step 4: Simplify right side
    2,373.53x = 3,248,551.10
  5. Step 5: Solve for x
    x = 3,248,551.10/2,373.53
  6. Step 6: Final answer
    x = 1,368.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.