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Finding the Fourth Proportional to 2,991.90, 4,497.57 and 2,977.32

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Solution

The fourth proportional to 2,991.90, 4,497.57 and 2,977.32 is: 4,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.90 : 4,497.57 = 2,977.32 : x
  2. Step 2: Convert to fraction form
    2,991.90/4,497.57 = 2,977.32/x
  3. Step 3: Cross multiply
    2,991.90x = 4,497.57 × 2,977.32
  4. Step 4: Simplify right side
    2,991.90x = 13,390,705.11
  5. Step 5: Solve for x
    x = 13,390,705.11/2,991.90
  6. Step 6: Final answer
    x = 4,475.65

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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.