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Finding the Fourth Proportional to 2,603.40, 3,907.83 and 1,565.94

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Solution

The fourth proportional to 2,603.40, 3,907.83 and 1,565.94 is: 2,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.40 : 3,907.83 = 1,565.94 : x
  2. Step 2: Convert to fraction form
    2,603.40/3,907.83 = 1,565.94/x
  3. Step 3: Cross multiply
    2,603.40x = 3,907.83 × 1,565.94
  4. Step 4: Simplify right side
    2,603.40x = 6,119,427.31
  5. Step 5: Solve for x
    x = 6,119,427.31/2,603.40
  6. Step 6: Final answer
    x = 2,350.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.