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Finding the Fourth Proportional to 2,565.88, 3,846.53 and 1,007

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Solution

The fourth proportional to 2,565.88, 3,846.53 and 1,007 is: 1,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.88 : 3,846.53 = 1,007 : x
  2. Step 2: Convert to fraction form
    2,565.88/3,846.53 = 1,007/x
  3. Step 3: Cross multiply
    2,565.88x = 3,846.53 × 1,007
  4. Step 4: Simplify right side
    2,565.88x = 3,873,455.71
  5. Step 5: Solve for x
    x = 3,873,455.71/2,565.88
  6. Step 6: Final answer
    x = 1,509.60

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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.