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Finding the Fourth Proportional to 2,013.84, 2,778.84 and 1,316.16

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Solution

The fourth proportional to 2,013.84, 2,778.84 and 1,316.16 is: 1,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.84 : 2,778.84 = 1,316.16 : x
  2. Step 2: Convert to fraction form
    2,013.84/2,778.84 = 1,316.16/x
  3. Step 3: Cross multiply
    2,013.84x = 2,778.84 × 1,316.16
  4. Step 4: Simplify right side
    2,013.84x = 3,657,398.05
  5. Step 5: Solve for x
    x = 3,657,398.05/2,013.84
  6. Step 6: Final answer
    x = 1,816.13

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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.