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Finding the Fourth Proportional to 2,307.14, 3,473.03 and 2,069

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Solution

The fourth proportional to 2,307.14, 3,473.03 and 2,069 is: 3,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.14 : 3,473.03 = 2,069 : x
  2. Step 2: Convert to fraction form
    2,307.14/3,473.03 = 2,069/x
  3. Step 3: Cross multiply
    2,307.14x = 3,473.03 × 2,069
  4. Step 4: Simplify right side
    2,307.14x = 7,185,699.07
  5. Step 5: Solve for x
    x = 7,185,699.07/2,307.14
  6. Step 6: Final answer
    x = 3,114.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.