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Finding the Fourth Proportional to 1,569.80, 2,353.26 and 1,397

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Solution

The fourth proportional to 1,569.80, 2,353.26 and 1,397 is: 2,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.80 : 2,353.26 = 1,397 : x
  2. Step 2: Convert to fraction form
    1,569.80/2,353.26 = 1,397/x
  3. Step 3: Cross multiply
    1,569.80x = 2,353.26 × 1,397
  4. Step 4: Simplify right side
    1,569.80x = 3,287,504.22
  5. Step 5: Solve for x
    x = 3,287,504.22/1,569.80
  6. Step 6: Final answer
    x = 2,094.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.