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Finding the Fourth Proportional to 2,308.53, 3,459.55 and 1,007.27

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Solution

The fourth proportional to 2,308.53, 3,459.55 and 1,007.27 is: 1,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.53 : 3,459.55 = 1,007.27 : x
  2. Step 2: Convert to fraction form
    2,308.53/3,459.55 = 1,007.27/x
  3. Step 3: Cross multiply
    2,308.53x = 3,459.55 × 1,007.27
  4. Step 4: Simplify right side
    2,308.53x = 3,484,700.93
  5. Step 5: Solve for x
    x = 3,484,700.93/2,308.53
  6. Step 6: Final answer
    x = 1,509.49

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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.