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Finding the Fourth Proportional to 3,298.78, 4,547.64 and 2,039.02

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Solution

The fourth proportional to 3,298.78, 4,547.64 and 2,039.02 is: 2,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.78 : 4,547.64 = 2,039.02 : x
  2. Step 2: Convert to fraction form
    3,298.78/4,547.64 = 2,039.02/x
  3. Step 3: Cross multiply
    3,298.78x = 4,547.64 × 2,039.02
  4. Step 4: Simplify right side
    3,298.78x = 9,272,728.91
  5. Step 5: Solve for x
    x = 9,272,728.91/3,298.78
  6. Step 6: Final answer
    x = 2,810.96

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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.