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Finding the Fourth Proportional to 2,356.35, 3,254.49 and 2,041.13

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Solution

The fourth proportional to 2,356.35, 3,254.49 and 2,041.13 is: 2,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.35 : 3,254.49 = 2,041.13 : x
  2. Step 2: Convert to fraction form
    2,356.35/3,254.49 = 2,041.13/x
  3. Step 3: Cross multiply
    2,356.35x = 3,254.49 × 2,041.13
  4. Step 4: Simplify right side
    2,356.35x = 6,642,820.90
  5. Step 5: Solve for x
    x = 6,642,820.90/2,356.35
  6. Step 6: Final answer
    x = 2,819.11

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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.