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Finding the Fourth Proportional to 3,345.13, 5,017.30 and 880.14

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Solution

The fourth proportional to 3,345.13, 5,017.30 and 880.14 is: 1,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.13 : 5,017.30 = 880.14 : x
  2. Step 2: Convert to fraction form
    3,345.13/5,017.30 = 880.14/x
  3. Step 3: Cross multiply
    3,345.13x = 5,017.30 × 880.14
  4. Step 4: Simplify right side
    3,345.13x = 4,415,922.02
  5. Step 5: Solve for x
    x = 4,415,922.02/3,345.13
  6. Step 6: Final answer
    x = 1,320.10

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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.