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Finding the Fourth Proportional to 2,974.93, 4,460.74 and 999.52

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Solution

The fourth proportional to 2,974.93, 4,460.74 and 999.52 is: 1,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.93 : 4,460.74 = 999.52 : x
  2. Step 2: Convert to fraction form
    2,974.93/4,460.74 = 999.52/x
  3. Step 3: Cross multiply
    2,974.93x = 4,460.74 × 999.52
  4. Step 4: Simplify right side
    2,974.93x = 4,458,598.84
  5. Step 5: Solve for x
    x = 4,458,598.84/2,974.93
  6. Step 6: Final answer
    x = 1,498.72

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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.