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Finding the Fourth Proportional to 3,345.16, 5,017.32 and 880

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Solution

The fourth proportional to 3,345.16, 5,017.32 and 880 is: 1,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.16 : 5,017.32 = 880 : x
  2. Step 2: Convert to fraction form
    3,345.16/5,017.32 = 880/x
  3. Step 3: Cross multiply
    3,345.16x = 5,017.32 × 880
  4. Step 4: Simplify right side
    3,345.16x = 4,415,241.60
  5. Step 5: Solve for x
    x = 4,415,241.60/3,345.16
  6. Step 6: Final answer
    x = 1,319.89

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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.