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Finding the Fourth Proportional to 1,502.80, 2,255.70 and 1,113.16

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Solution

The fourth proportional to 1,502.80, 2,255.70 and 1,113.16 is: 1,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.80 : 2,255.70 = 1,113.16 : x
  2. Step 2: Convert to fraction form
    1,502.80/2,255.70 = 1,113.16/x
  3. Step 3: Cross multiply
    1,502.80x = 2,255.70 × 1,113.16
  4. Step 4: Simplify right side
    1,502.80x = 2,510,955.01
  5. Step 5: Solve for x
    x = 2,510,955.01/1,502.80
  6. Step 6: Final answer
    x = 1,670.85

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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.