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Finding the Fourth Proportional to 2,959.92, 4,085.40 and 1,780.20

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Solution

The fourth proportional to 2,959.92, 4,085.40 and 1,780.20 is: 2,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.92 : 4,085.40 = 1,780.20 : x
  2. Step 2: Convert to fraction form
    2,959.92/4,085.40 = 1,780.20/x
  3. Step 3: Cross multiply
    2,959.92x = 4,085.40 × 1,780.20
  4. Step 4: Simplify right side
    2,959.92x = 7,272,829.08
  5. Step 5: Solve for x
    x = 7,272,829.08/2,959.92
  6. Step 6: Final answer
    x = 2,457.10

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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.