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Finding the Fourth Proportional to 3,465.98, 4,783.14 and 1,974.11

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Solution

The fourth proportional to 3,465.98, 4,783.14 and 1,974.11 is: 2,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.98 : 4,783.14 = 1,974.11 : x
  2. Step 2: Convert to fraction form
    3,465.98/4,783.14 = 1,974.11/x
  3. Step 3: Cross multiply
    3,465.98x = 4,783.14 × 1,974.11
  4. Step 4: Simplify right side
    3,465.98x = 9,442,420.59
  5. Step 5: Solve for x
    x = 9,442,420.59/3,465.98
  6. Step 6: Final answer
    x = 2,724.32

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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.