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Finding the Fourth Proportional to 2,518.48, 3,475.94 and 2,407.78

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Solution

The fourth proportional to 2,518.48, 3,475.94 and 2,407.78 is: 3,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.48 : 3,475.94 = 2,407.78 : x
  2. Step 2: Convert to fraction form
    2,518.48/3,475.94 = 2,407.78/x
  3. Step 3: Cross multiply
    2,518.48x = 3,475.94 × 2,407.78
  4. Step 4: Simplify right side
    2,518.48x = 8,369,298.81
  5. Step 5: Solve for x
    x = 8,369,298.81/2,518.48
  6. Step 6: Final answer
    x = 3,323.15

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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.