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Finding the Fourth Proportional to 2,603.83, 3,907.27 and 1,565.82

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Solution

The fourth proportional to 2,603.83, 3,907.27 and 1,565.82 is: 2,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.83 : 3,907.27 = 1,565.82 : x
  2. Step 2: Convert to fraction form
    2,603.83/3,907.27 = 1,565.82/x
  3. Step 3: Cross multiply
    2,603.83x = 3,907.27 × 1,565.82
  4. Step 4: Simplify right side
    2,603.83x = 6,118,081.51
  5. Step 5: Solve for x
    x = 6,118,081.51/2,603.83
  6. Step 6: Final answer
    x = 2,349.65

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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.