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Finding the Fourth Proportional to 1,574.22, 2,360.42 and 1,054.82

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Solution

The fourth proportional to 1,574.22, 2,360.42 and 1,054.82 is: 1,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.22 : 2,360.42 = 1,054.82 : x
  2. Step 2: Convert to fraction form
    1,574.22/2,360.42 = 1,054.82/x
  3. Step 3: Cross multiply
    1,574.22x = 2,360.42 × 1,054.82
  4. Step 4: Simplify right side
    1,574.22x = 2,489,818.22
  5. Step 5: Solve for x
    x = 2,489,818.22/1,574.22
  6. Step 6: Final answer
    x = 1,581.62

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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.