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Finding the Fourth Proportional to 3,066.78, 4,599.36 and 1,335

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Solution

The fourth proportional to 3,066.78, 4,599.36 and 1,335 is: 2,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.78 : 4,599.36 = 1,335 : x
  2. Step 2: Convert to fraction form
    3,066.78/4,599.36 = 1,335/x
  3. Step 3: Cross multiply
    3,066.78x = 4,599.36 × 1,335
  4. Step 4: Simplify right side
    3,066.78x = 6,140,145.60
  5. Step 5: Solve for x
    x = 6,140,145.60/3,066.78
  6. Step 6: Final answer
    x = 2,002.15

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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.