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Finding the Fourth Proportional to 1,830.75, 2,526.24 and 1,034

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Solution

The fourth proportional to 1,830.75, 2,526.24 and 1,034 is: 1,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.75 : 2,526.24 = 1,034 : x
  2. Step 2: Convert to fraction form
    1,830.75/2,526.24 = 1,034/x
  3. Step 3: Cross multiply
    1,830.75x = 2,526.24 × 1,034
  4. Step 4: Simplify right side
    1,830.75x = 2,612,132.16
  5. Step 5: Solve for x
    x = 2,612,132.16/1,830.75
  6. Step 6: Final answer
    x = 1,426.81

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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.