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Finding the Fourth Proportional to 2,938.64, 4,406.68 and 990.32

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Solution

The fourth proportional to 2,938.64, 4,406.68 and 990.32 is: 1,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.64 : 4,406.68 = 990.32 : x
  2. Step 2: Convert to fraction form
    2,938.64/4,406.68 = 990.32/x
  3. Step 3: Cross multiply
    2,938.64x = 4,406.68 × 990.32
  4. Step 4: Simplify right side
    2,938.64x = 4,364,023.34
  5. Step 5: Solve for x
    x = 4,364,023.34/2,938.64
  6. Step 6: Final answer
    x = 1,485.05

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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.