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Finding the Fourth Proportional to 3,064.42, 4,228.80 and 1,667.14

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Solution

The fourth proportional to 3,064.42, 4,228.80 and 1,667.14 is: 2,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.42 : 4,228.80 = 1,667.14 : x
  2. Step 2: Convert to fraction form
    3,064.42/4,228.80 = 1,667.14/x
  3. Step 3: Cross multiply
    3,064.42x = 4,228.80 × 1,667.14
  4. Step 4: Simplify right side
    3,064.42x = 7,050,001.63
  5. Step 5: Solve for x
    x = 7,050,001.63/3,064.42
  6. Step 6: Final answer
    x = 2,300.60

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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.