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Finding the Fourth Proportional to 3,160.55, 4,741.04 and 970.81

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Solution

The fourth proportional to 3,160.55, 4,741.04 and 970.81 is: 1,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.55 : 4,741.04 = 970.81 : x
  2. Step 2: Convert to fraction form
    3,160.55/4,741.04 = 970.81/x
  3. Step 3: Cross multiply
    3,160.55x = 4,741.04 × 970.81
  4. Step 4: Simplify right side
    3,160.55x = 4,602,620.48
  5. Step 5: Solve for x
    x = 4,602,620.48/3,160.55
  6. Step 6: Final answer
    x = 1,456.27

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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.