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Finding the Fourth Proportional to 1,950.06, 2,925.78 and 1,218.78

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Solution

The fourth proportional to 1,950.06, 2,925.78 and 1,218.78 is: 1,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.06 : 2,925.78 = 1,218.78 : x
  2. Step 2: Convert to fraction form
    1,950.06/2,925.78 = 1,218.78/x
  3. Step 3: Cross multiply
    1,950.06x = 2,925.78 × 1,218.78
  4. Step 4: Simplify right side
    1,950.06x = 3,565,882.15
  5. Step 5: Solve for x
    x = 3,565,882.15/1,950.06
  6. Step 6: Final answer
    x = 1,828.60

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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.