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Finding the Fourth Proportional to 1,471.51, 2,205.19 and 1,058.70

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Solution

The fourth proportional to 1,471.51, 2,205.19 and 1,058.70 is: 1,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.51 : 2,205.19 = 1,058.70 : x
  2. Step 2: Convert to fraction form
    1,471.51/2,205.19 = 1,058.70/x
  3. Step 3: Cross multiply
    1,471.51x = 2,205.19 × 1,058.70
  4. Step 4: Simplify right side
    1,471.51x = 2,334,634.65
  5. Step 5: Solve for x
    x = 2,334,634.65/1,471.51
  6. Step 6: Final answer
    x = 1,586.56

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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.