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Finding the Fourth Proportional to 1,766.10, 2,437.21 and 980.14

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Solution

The fourth proportional to 1,766.10, 2,437.21 and 980.14 is: 1,352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.10 : 2,437.21 = 980.14 : x
  2. Step 2: Convert to fraction form
    1,766.10/2,437.21 = 980.14/x
  3. Step 3: Cross multiply
    1,766.10x = 2,437.21 × 980.14
  4. Step 4: Simplify right side
    1,766.10x = 2,388,815.55
  5. Step 5: Solve for x
    x = 2,388,815.55/1,766.10
  6. Step 6: Final answer
    x = 1,352.60

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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.