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Finding the Fourth Proportional to 1,569.40, 2,176.57 and 1,497.40

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Solution

The fourth proportional to 1,569.40, 2,176.57 and 1,497.40 is: 2,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.40 : 2,176.57 = 1,497.40 : x
  2. Step 2: Convert to fraction form
    1,569.40/2,176.57 = 1,497.40/x
  3. Step 3: Cross multiply
    1,569.40x = 2,176.57 × 1,497.40
  4. Step 4: Simplify right side
    1,569.40x = 3,259,195.92
  5. Step 5: Solve for x
    x = 3,259,195.92/1,569.40
  6. Step 6: Final answer
    x = 2,076.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.