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Finding the Fourth Proportional to 2,030.64, 3,043.16 and 932.32

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Solution

The fourth proportional to 2,030.64, 3,043.16 and 932.32 is: 1,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.64 : 3,043.16 = 932.32 : x
  2. Step 2: Convert to fraction form
    2,030.64/3,043.16 = 932.32/x
  3. Step 3: Cross multiply
    2,030.64x = 3,043.16 × 932.32
  4. Step 4: Simplify right side
    2,030.64x = 2,837,198.93
  5. Step 5: Solve for x
    x = 2,837,198.93/2,030.64
  6. Step 6: Final answer
    x = 1,397.19

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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.