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Finding the Fourth Proportional to 2,971.48, 4,074.04 and 2,918.80

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Solution

The fourth proportional to 2,971.48, 4,074.04 and 2,918.80 is: 4,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.48 : 4,074.04 = 2,918.80 : x
  2. Step 2: Convert to fraction form
    2,971.48/4,074.04 = 2,918.80/x
  3. Step 3: Cross multiply
    2,971.48x = 4,074.04 × 2,918.80
  4. Step 4: Simplify right side
    2,971.48x = 11,891,307.95
  5. Step 5: Solve for x
    x = 11,891,307.95/2,971.48
  6. Step 6: Final answer
    x = 4,001.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.