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Finding the Fourth Proportional to 4,059.60, 6,089.40 and 981.60

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Solution

The fourth proportional to 4,059.60, 6,089.40 and 981.60 is: 1,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.60 : 6,089.40 = 981.60 : x
  2. Step 2: Convert to fraction form
    4,059.60/6,089.40 = 981.60/x
  3. Step 3: Cross multiply
    4,059.60x = 6,089.40 × 981.60
  4. Step 4: Simplify right side
    4,059.60x = 5,977,332.20
  5. Step 5: Solve for x
    x = 5,977,332.20/4,059.60
  6. Step 6: Final answer
    x = 1,472.40

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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.