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Finding the Fourth Proportional to 2,275.27, 3,139.50 and 1,530.48

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Solution

The fourth proportional to 2,275.27, 3,139.50 and 1,530.48 is: 2,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.27 : 3,139.50 = 1,530.48 : x
  2. Step 2: Convert to fraction form
    2,275.27/3,139.50 = 1,530.48/x
  3. Step 3: Cross multiply
    2,275.27x = 3,139.50 × 1,530.48
  4. Step 4: Simplify right side
    2,275.27x = 4,804,941.96
  5. Step 5: Solve for x
    x = 4,804,941.96/2,275.27
  6. Step 6: Final answer
    x = 2,111.81

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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.