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Finding the Fourth Proportional to 2,887.59, 3,984.75 and 1,770.42

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Solution

The fourth proportional to 2,887.59, 3,984.75 and 1,770.42 is: 2,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.59 : 3,984.75 = 1,770.42 : x
  2. Step 2: Convert to fraction form
    2,887.59/3,984.75 = 1,770.42/x
  3. Step 3: Cross multiply
    2,887.59x = 3,984.75 × 1,770.42
  4. Step 4: Simplify right side
    2,887.59x = 7,054,681.10
  5. Step 5: Solve for x
    x = 7,054,681.10/2,887.59
  6. Step 6: Final answer
    x = 2,443.10

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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.