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Finding the Fourth Proportional to 1,534.56, 2,117.56 and 871.46

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Solution

The fourth proportional to 1,534.56, 2,117.56 and 871.46 is: 1,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.56 : 2,117.56 = 871.46 : x
  2. Step 2: Convert to fraction form
    1,534.56/2,117.56 = 871.46/x
  3. Step 3: Cross multiply
    1,534.56x = 2,117.56 × 871.46
  4. Step 4: Simplify right side
    1,534.56x = 1,845,368.84
  5. Step 5: Solve for x
    x = 1,845,368.84/1,534.56
  6. Step 6: Final answer
    x = 1,202.54

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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.