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Finding the Fourth Proportional to 1,551.80, 2,142.78 and 1,030.16

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Solution

The fourth proportional to 1,551.80, 2,142.78 and 1,030.16 is: 1,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.80 : 2,142.78 = 1,030.16 : x
  2. Step 2: Convert to fraction form
    1,551.80/2,142.78 = 1,030.16/x
  3. Step 3: Cross multiply
    1,551.80x = 2,142.78 × 1,030.16
  4. Step 4: Simplify right side
    1,551.80x = 2,207,406.24
  5. Step 5: Solve for x
    x = 2,207,406.24/1,551.80
  6. Step 6: Final answer
    x = 1,422.48

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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.