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Finding the Fourth Proportional to 1,780.91, 2,457.65 and 994.96

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Solution

The fourth proportional to 1,780.91, 2,457.65 and 994.96 is: 1,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.91 : 2,457.65 = 994.96 : x
  2. Step 2: Convert to fraction form
    1,780.91/2,457.65 = 994.96/x
  3. Step 3: Cross multiply
    1,780.91x = 2,457.65 × 994.96
  4. Step 4: Simplify right side
    1,780.91x = 2,445,269.00
  5. Step 5: Solve for x
    x = 2,445,269.00/1,780.91
  6. Step 6: Final answer
    x = 1,373.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.