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Finding the Fourth Proportional to 2,538.57, 3,502.13 and 1,530.69

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Solution

The fourth proportional to 2,538.57, 3,502.13 and 1,530.69 is: 2,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.57 : 3,502.13 = 1,530.69 : x
  2. Step 2: Convert to fraction form
    2,538.57/3,502.13 = 1,530.69/x
  3. Step 3: Cross multiply
    2,538.57x = 3,502.13 × 1,530.69
  4. Step 4: Simplify right side
    2,538.57x = 5,360,667.72
  5. Step 5: Solve for x
    x = 5,360,667.72/2,538.57
  6. Step 6: Final answer
    x = 2,111.69

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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.