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Finding the Fourth Proportional to 1,575.53, 2,174.07 and 912.60

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Solution

The fourth proportional to 1,575.53, 2,174.07 and 912.60 is: 1,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.53 : 2,174.07 = 912.60 : x
  2. Step 2: Convert to fraction form
    1,575.53/2,174.07 = 912.60/x
  3. Step 3: Cross multiply
    1,575.53x = 2,174.07 × 912.60
  4. Step 4: Simplify right side
    1,575.53x = 1,984,059.70
  5. Step 5: Solve for x
    x = 1,984,059.70/1,575.53
  6. Step 6: Final answer
    x = 1,259.30

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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.