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Finding the Fourth Proportional to 2,547.90, 3,820.20 and 1,068.15

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Solution

The fourth proportional to 2,547.90, 3,820.20 and 1,068.15 is: 1,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.90 : 3,820.20 = 1,068.15 : x
  2. Step 2: Convert to fraction form
    2,547.90/3,820.20 = 1,068.15/x
  3. Step 3: Cross multiply
    2,547.90x = 3,820.20 × 1,068.15
  4. Step 4: Simplify right side
    2,547.90x = 4,080,546.63
  5. Step 5: Solve for x
    x = 4,080,546.63/2,547.90
  6. Step 6: Final answer
    x = 1,601.53

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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.