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Finding the Fourth Proportional to 2,066.66, 3,099 and 970.10

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Solution

The fourth proportional to 2,066.66, 3,099 and 970.10 is: 1,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.66 : 3,099 = 970.10 : x
  2. Step 2: Convert to fraction form
    2,066.66/3,099 = 970.10/x
  3. Step 3: Cross multiply
    2,066.66x = 3,099 × 970.10
  4. Step 4: Simplify right side
    2,066.66x = 3,006,339.90
  5. Step 5: Solve for x
    x = 3,006,339.90/2,066.66
  6. Step 6: Final answer
    x = 1,454.69

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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.