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Finding the Fourth Proportional to 2,534.25, 3,803.06 and 975.54

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Solution

The fourth proportional to 2,534.25, 3,803.06 and 975.54 is: 1,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.25 : 3,803.06 = 975.54 : x
  2. Step 2: Convert to fraction form
    2,534.25/3,803.06 = 975.54/x
  3. Step 3: Cross multiply
    2,534.25x = 3,803.06 × 975.54
  4. Step 4: Simplify right side
    2,534.25x = 3,710,037.15
  5. Step 5: Solve for x
    x = 3,710,037.15/2,534.25
  6. Step 6: Final answer
    x = 1,463.96

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1.5x scale

Why These Related Problems?

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