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Finding the Fourth Proportional to 3,046.84, 4,567.51 and 1,402.54

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Solution

The fourth proportional to 3,046.84, 4,567.51 and 1,402.54 is: 2,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.84 : 4,567.51 = 1,402.54 : x
  2. Step 2: Convert to fraction form
    3,046.84/4,567.51 = 1,402.54/x
  3. Step 3: Cross multiply
    3,046.84x = 4,567.51 × 1,402.54
  4. Step 4: Simplify right side
    3,046.84x = 6,406,115.48
  5. Step 5: Solve for x
    x = 6,406,115.48/3,046.84
  6. Step 6: Final answer
    x = 2,102.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.