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Finding the Fourth Proportional to 2,462.54, 3,397.28 and 1,530.50

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Solution

The fourth proportional to 2,462.54, 3,397.28 and 1,530.50 is: 2,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.54 : 3,397.28 = 1,530.50 : x
  2. Step 2: Convert to fraction form
    2,462.54/3,397.28 = 1,530.50/x
  3. Step 3: Cross multiply
    2,462.54x = 3,397.28 × 1,530.50
  4. Step 4: Simplify right side
    2,462.54x = 5,199,537.04
  5. Step 5: Solve for x
    x = 5,199,537.04/2,462.54
  6. Step 6: Final answer
    x = 2,111.45

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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.