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Finding the Fourth Proportional to 2,653.72, 3,980.60 and 921.13

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Solution

The fourth proportional to 2,653.72, 3,980.60 and 921.13 is: 1,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.72 : 3,980.60 = 921.13 : x
  2. Step 2: Convert to fraction form
    2,653.72/3,980.60 = 921.13/x
  3. Step 3: Cross multiply
    2,653.72x = 3,980.60 × 921.13
  4. Step 4: Simplify right side
    2,653.72x = 3,666,650.08
  5. Step 5: Solve for x
    x = 3,666,650.08/2,653.72
  6. Step 6: Final answer
    x = 1,381.70

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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.