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Finding the Fourth Proportional to 3,032.97, 4,547.44 and 1,184.26

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Solution

The fourth proportional to 3,032.97, 4,547.44 and 1,184.26 is: 1,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.97 : 4,547.44 = 1,184.26 : x
  2. Step 2: Convert to fraction form
    3,032.97/4,547.44 = 1,184.26/x
  3. Step 3: Cross multiply
    3,032.97x = 4,547.44 × 1,184.26
  4. Step 4: Simplify right side
    3,032.97x = 5,385,351.29
  5. Step 5: Solve for x
    x = 5,385,351.29/3,032.97
  6. Step 6: Final answer
    x = 1,775.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.