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Finding the Fourth Proportional to 2,911.88, 4,019.82 and 1,985.24

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Solution

The fourth proportional to 2,911.88, 4,019.82 and 1,985.24 is: 2,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.88 : 4,019.82 = 1,985.24 : x
  2. Step 2: Convert to fraction form
    2,911.88/4,019.82 = 1,985.24/x
  3. Step 3: Cross multiply
    2,911.88x = 4,019.82 × 1,985.24
  4. Step 4: Simplify right side
    2,911.88x = 7,980,307.46
  5. Step 5: Solve for x
    x = 7,980,307.46/2,911.88
  6. Step 6: Final answer
    x = 2,740.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.