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Finding the Fourth Proportional to 1,475.67, 2,034.84 and 1,055.87

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Solution

The fourth proportional to 1,475.67, 2,034.84 and 1,055.87 is: 1,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.67 : 2,034.84 = 1,055.87 : x
  2. Step 2: Convert to fraction form
    1,475.67/2,034.84 = 1,055.87/x
  3. Step 3: Cross multiply
    1,475.67x = 2,034.84 × 1,055.87
  4. Step 4: Simplify right side
    1,475.67x = 2,148,516.34
  5. Step 5: Solve for x
    x = 2,148,516.34/1,475.67
  6. Step 6: Final answer
    x = 1,455.96

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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.