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Finding the Fourth Proportional to 2,197.95, 3,032.69 and 1,411.71

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Solution

The fourth proportional to 2,197.95, 3,032.69 and 1,411.71 is: 1,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.95 : 3,032.69 = 1,411.71 : x
  2. Step 2: Convert to fraction form
    2,197.95/3,032.69 = 1,411.71/x
  3. Step 3: Cross multiply
    2,197.95x = 3,032.69 × 1,411.71
  4. Step 4: Simplify right side
    2,197.95x = 4,281,271.74
  5. Step 5: Solve for x
    x = 4,281,271.74/2,197.95
  6. Step 6: Final answer
    x = 1,947.85

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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.