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Finding the Fourth Proportional to 1,569.14, 2,165.49 and 906.20

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Solution

The fourth proportional to 1,569.14, 2,165.49 and 906.20 is: 1,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.14 : 2,165.49 = 906.20 : x
  2. Step 2: Convert to fraction form
    1,569.14/2,165.49 = 906.20/x
  3. Step 3: Cross multiply
    1,569.14x = 2,165.49 × 906.20
  4. Step 4: Simplify right side
    1,569.14x = 1,962,356.21
  5. Step 5: Solve for x
    x = 1,962,356.21/1,569.14
  6. Step 6: Final answer
    x = 1,250.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.