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Finding the Fourth Proportional to 2,123.85, 3,185.87 and 953.66

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Solution

The fourth proportional to 2,123.85, 3,185.87 and 953.66 is: 1,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.85 : 3,185.87 = 953.66 : x
  2. Step 2: Convert to fraction form
    2,123.85/3,185.87 = 953.66/x
  3. Step 3: Cross multiply
    2,123.85x = 3,185.87 × 953.66
  4. Step 4: Simplify right side
    2,123.85x = 3,038,216.09
  5. Step 5: Solve for x
    x = 3,038,216.09/2,123.85
  6. Step 6: Final answer
    x = 1,430.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.