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Finding the Fourth Proportional to 3,297.60, 4,547.04 and 2,250.24

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Solution

The fourth proportional to 3,297.60, 4,547.04 and 2,250.24 is: 3,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.60 : 4,547.04 = 2,250.24 : x
  2. Step 2: Convert to fraction form
    3,297.60/4,547.04 = 2,250.24/x
  3. Step 3: Cross multiply
    3,297.60x = 4,547.04 × 2,250.24
  4. Step 4: Simplify right side
    3,297.60x = 10,231,931.29
  5. Step 5: Solve for x
    x = 10,231,931.29/3,297.60
  6. Step 6: Final answer
    x = 3,102.84

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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.