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Finding the Fourth Proportional to 2,374.63, 3,277.05 and 1,326.76

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Solution

The fourth proportional to 2,374.63, 3,277.05 and 1,326.76 is: 1,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.63 : 3,277.05 = 1,326.76 : x
  2. Step 2: Convert to fraction form
    2,374.63/3,277.05 = 1,326.76/x
  3. Step 3: Cross multiply
    2,374.63x = 3,277.05 × 1,326.76
  4. Step 4: Simplify right side
    2,374.63x = 4,347,858.86
  5. Step 5: Solve for x
    x = 4,347,858.86/2,374.63
  6. Step 6: Final answer
    x = 1,830.96

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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.