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Finding the Fourth Proportional to 2,744.32, 4,117.56 and 1,574.32

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Solution

The fourth proportional to 2,744.32, 4,117.56 and 1,574.32 is: 2,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.32 : 4,117.56 = 1,574.32 : x
  2. Step 2: Convert to fraction form
    2,744.32/4,117.56 = 1,574.32/x
  3. Step 3: Cross multiply
    2,744.32x = 4,117.56 × 1,574.32
  4. Step 4: Simplify right side
    2,744.32x = 6,482,357.06
  5. Step 5: Solve for x
    x = 6,482,357.06/2,744.32
  6. Step 6: Final answer
    x = 2,362.10

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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.