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Finding the Fourth Proportional to 2,468.48, 3,407.28 and 2,386.40

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Solution

The fourth proportional to 2,468.48, 3,407.28 and 2,386.40 is: 3,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.48 : 3,407.28 = 2,386.40 : x
  2. Step 2: Convert to fraction form
    2,468.48/3,407.28 = 2,386.40/x
  3. Step 3: Cross multiply
    2,468.48x = 3,407.28 × 2,386.40
  4. Step 4: Simplify right side
    2,468.48x = 8,131,132.99
  5. Step 5: Solve for x
    x = 8,131,132.99/2,468.48
  6. Step 6: Final answer
    x = 3,293.98

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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.