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Finding the Fourth Proportional to 1,751.54, 2,417.27 and 965.74

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Solution

The fourth proportional to 1,751.54, 2,417.27 and 965.74 is: 1,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.54 : 2,417.27 = 965.74 : x
  2. Step 2: Convert to fraction form
    1,751.54/2,417.27 = 965.74/x
  3. Step 3: Cross multiply
    1,751.54x = 2,417.27 × 965.74
  4. Step 4: Simplify right side
    1,751.54x = 2,334,454.33
  5. Step 5: Solve for x
    x = 2,334,454.33/1,751.54
  6. Step 6: Final answer
    x = 1,332.80

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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.