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Finding the Fourth Proportional to 2,678.06, 4,017.47 and 829.32

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Solution

The fourth proportional to 2,678.06, 4,017.47 and 829.32 is: 1,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.06 : 4,017.47 = 829.32 : x
  2. Step 2: Convert to fraction form
    2,678.06/4,017.47 = 829.32/x
  3. Step 3: Cross multiply
    2,678.06x = 4,017.47 × 829.32
  4. Step 4: Simplify right side
    2,678.06x = 3,331,768.22
  5. Step 5: Solve for x
    x = 3,331,768.22/2,678.06
  6. Step 6: Final answer
    x = 1,244.10

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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.