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Finding the Fourth Proportional to 2,202.56, 3,038.64 and 1,502.72

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Solution

The fourth proportional to 2,202.56, 3,038.64 and 1,502.72 is: 2,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.56 : 3,038.64 = 1,502.72 : x
  2. Step 2: Convert to fraction form
    2,202.56/3,038.64 = 1,502.72/x
  3. Step 3: Cross multiply
    2,202.56x = 3,038.64 × 1,502.72
  4. Step 4: Simplify right side
    2,202.56x = 4,566,225.10
  5. Step 5: Solve for x
    x = 4,566,225.10/2,202.56
  6. Step 6: Final answer
    x = 2,073.14

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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.