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Finding the Fourth Proportional to 1,551.07, 2,140.35 and 912.95

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Solution

The fourth proportional to 1,551.07, 2,140.35 and 912.95 is: 1,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.07 : 2,140.35 = 912.95 : x
  2. Step 2: Convert to fraction form
    1,551.07/2,140.35 = 912.95/x
  3. Step 3: Cross multiply
    1,551.07x = 2,140.35 × 912.95
  4. Step 4: Simplify right side
    1,551.07x = 1,954,022.98
  5. Step 5: Solve for x
    x = 1,954,022.98/1,551.07
  6. Step 6: Final answer
    x = 1,259.79

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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.