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Finding the Fourth Proportional to 1,751.70, 2,417.12 and 965.80

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Solution

The fourth proportional to 1,751.70, 2,417.12 and 965.80 is: 1,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.70 : 2,417.12 = 965.80 : x
  2. Step 2: Convert to fraction form
    1,751.70/2,417.12 = 965.80/x
  3. Step 3: Cross multiply
    1,751.70x = 2,417.12 × 965.80
  4. Step 4: Simplify right side
    1,751.70x = 2,334,454.50
  5. Step 5: Solve for x
    x = 2,334,454.50/1,751.70
  6. Step 6: Final answer
    x = 1,332.68

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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.