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Finding the Fourth Proportional to 1,502.64, 2,074.28 and 913.37

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Solution

The fourth proportional to 1,502.64, 2,074.28 and 913.37 is: 1,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.64 : 2,074.28 = 913.37 : x
  2. Step 2: Convert to fraction form
    1,502.64/2,074.28 = 913.37/x
  3. Step 3: Cross multiply
    1,502.64x = 2,074.28 × 913.37
  4. Step 4: Simplify right side
    1,502.64x = 1,894,570.19
  5. Step 5: Solve for x
    x = 1,894,570.19/1,502.64
  6. Step 6: Final answer
    x = 1,260.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.