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Finding the Fourth Proportional to 2,322.74, 3,184.60 and 2,281.16

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Solution

The fourth proportional to 2,322.74, 3,184.60 and 2,281.16 is: 3,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.74 : 3,184.60 = 2,281.16 : x
  2. Step 2: Convert to fraction form
    2,322.74/3,184.60 = 2,281.16/x
  3. Step 3: Cross multiply
    2,322.74x = 3,184.60 × 2,281.16
  4. Step 4: Simplify right side
    2,322.74x = 7,264,582.14
  5. Step 5: Solve for x
    x = 7,264,582.14/2,322.74
  6. Step 6: Final answer
    x = 3,127.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.