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Finding the Fourth Proportional to 3,374.88, 4,657.33 and 1,977.63

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Solution

The fourth proportional to 3,374.88, 4,657.33 and 1,977.63 is: 2,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.88 : 4,657.33 = 1,977.63 : x
  2. Step 2: Convert to fraction form
    3,374.88/4,657.33 = 1,977.63/x
  3. Step 3: Cross multiply
    3,374.88x = 4,657.33 × 1,977.63
  4. Step 4: Simplify right side
    3,374.88x = 9,210,475.53
  5. Step 5: Solve for x
    x = 9,210,475.53/3,374.88
  6. Step 6: Final answer
    x = 2,729.13

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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.