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Finding the Fourth Proportional to 2,374.70, 3,277.41 and 1,784.21

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Solution

The fourth proportional to 2,374.70, 3,277.41 and 1,784.21 is: 2,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.70 : 3,277.41 = 1,784.21 : x
  2. Step 2: Convert to fraction form
    2,374.70/3,277.41 = 1,784.21/x
  3. Step 3: Cross multiply
    2,374.70x = 3,277.41 × 1,784.21
  4. Step 4: Simplify right side
    2,374.70x = 5,847,587.70
  5. Step 5: Solve for x
    x = 5,847,587.70/2,374.70
  6. Step 6: Final answer
    x = 2,462.45

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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.