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Finding the Fourth Proportional to 1,756.41, 2,423.85 and 959.75

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Solution

The fourth proportional to 1,756.41, 2,423.85 and 959.75 is: 1,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.41 : 2,423.85 = 959.75 : x
  2. Step 2: Convert to fraction form
    1,756.41/2,423.85 = 959.75/x
  3. Step 3: Cross multiply
    1,756.41x = 2,423.85 × 959.75
  4. Step 4: Simplify right side
    1,756.41x = 2,326,273.12
  5. Step 5: Solve for x
    x = 2,326,273.12/1,756.41
  6. Step 6: Final answer
    x = 1,324.45

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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.