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Finding the Fourth Proportional to 2,726.12, 4,088.64 and 994.16

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Solution

The fourth proportional to 2,726.12, 4,088.64 and 994.16 is: 1,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.12 : 4,088.64 = 994.16 : x
  2. Step 2: Convert to fraction form
    2,726.12/4,088.64 = 994.16/x
  3. Step 3: Cross multiply
    2,726.12x = 4,088.64 × 994.16
  4. Step 4: Simplify right side
    2,726.12x = 4,064,762.34
  5. Step 5: Solve for x
    x = 4,064,762.34/2,726.12
  6. Step 6: Final answer
    x = 1,491.04

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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.