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Finding the Fourth Proportional to 1,853.79, 2,777.48 and 974.98

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Solution

The fourth proportional to 1,853.79, 2,777.48 and 974.98 is: 1,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.79 : 2,777.48 = 974.98 : x
  2. Step 2: Convert to fraction form
    1,853.79/2,777.48 = 974.98/x
  3. Step 3: Cross multiply
    1,853.79x = 2,777.48 × 974.98
  4. Step 4: Simplify right side
    1,853.79x = 2,707,989.52
  5. Step 5: Solve for x
    x = 2,707,989.52/1,853.79
  6. Step 6: Final answer
    x = 1,460.79

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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.