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Finding the Fourth Proportional to 3,055.88, 4,580.12 and 1,410.14

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Solution

The fourth proportional to 3,055.88, 4,580.12 and 1,410.14 is: 2,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.88 : 4,580.12 = 1,410.14 : x
  2. Step 2: Convert to fraction form
    3,055.88/4,580.12 = 1,410.14/x
  3. Step 3: Cross multiply
    3,055.88x = 4,580.12 × 1,410.14
  4. Step 4: Simplify right side
    3,055.88x = 6,458,610.42
  5. Step 5: Solve for x
    x = 6,458,610.42/3,055.88
  6. Step 6: Final answer
    x = 2,113.50

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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.