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Finding the Fourth Proportional to 1,766.07, 2,437.08 and 980.06

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Solution

The fourth proportional to 1,766.07, 2,437.08 and 980.06 is: 1,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.07 : 2,437.08 = 980.06 : x
  2. Step 2: Convert to fraction form
    1,766.07/2,437.08 = 980.06/x
  3. Step 3: Cross multiply
    1,766.07x = 2,437.08 × 980.06
  4. Step 4: Simplify right side
    1,766.07x = 2,388,484.62
  5. Step 5: Solve for x
    x = 2,388,484.62/1,766.07
  6. Step 6: Final answer
    x = 1,352.43

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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.