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Finding the Fourth Proportional to 1,502.85, 2,254.26 and 1,245.81

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Solution

The fourth proportional to 1,502.85, 2,254.26 and 1,245.81 is: 1,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.85 : 2,254.26 = 1,245.81 : x
  2. Step 2: Convert to fraction form
    1,502.85/2,254.26 = 1,245.81/x
  3. Step 3: Cross multiply
    1,502.85x = 2,254.26 × 1,245.81
  4. Step 4: Simplify right side
    1,502.85x = 2,808,379.65
  5. Step 5: Solve for x
    x = 2,808,379.65/1,502.85
  6. Step 6: Final answer
    x = 1,868.70

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