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Finding the Fourth Proportional to 3,314.93, 4,971.02 and 1,464.75

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Solution

The fourth proportional to 3,314.93, 4,971.02 and 1,464.75 is: 2,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.93 : 4,971.02 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    3,314.93/4,971.02 = 1,464.75/x
  3. Step 3: Cross multiply
    3,314.93x = 4,971.02 × 1,464.75
  4. Step 4: Simplify right side
    3,314.93x = 7,281,294.22
  5. Step 5: Solve for x
    x = 7,281,294.22/3,314.93
  6. Step 6: Final answer
    x = 2,196.52

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Why These Related Problems?

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