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Finding the Fourth Proportional to 2,002.60, 3,007.14 and 1,030.60

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Solution

The fourth proportional to 2,002.60, 3,007.14 and 1,030.60 is: 1,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.60 : 3,007.14 = 1,030.60 : x
  2. Step 2: Convert to fraction form
    2,002.60/3,007.14 = 1,030.60/x
  3. Step 3: Cross multiply
    2,002.60x = 3,007.14 × 1,030.60
  4. Step 4: Simplify right side
    2,002.60x = 3,099,158.48
  5. Step 5: Solve for x
    x = 3,099,158.48/2,002.60
  6. Step 6: Final answer
    x = 1,547.57

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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.