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Finding the Fourth Proportional to 2,097.64, 3,146.46 and 710.98

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Solution

The fourth proportional to 2,097.64, 3,146.46 and 710.98 is: 1,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.64 : 3,146.46 = 710.98 : x
  2. Step 2: Convert to fraction form
    2,097.64/3,146.46 = 710.98/x
  3. Step 3: Cross multiply
    2,097.64x = 3,146.46 × 710.98
  4. Step 4: Simplify right side
    2,097.64x = 2,237,070.13
  5. Step 5: Solve for x
    x = 2,237,070.13/2,097.64
  6. Step 6: Final answer
    x = 1,066.47

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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.