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Finding the Fourth Proportional to 2,605.15, 3,907.47 and 1,434.77

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Solution

The fourth proportional to 2,605.15, 3,907.47 and 1,434.77 is: 2,152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.15 : 3,907.47 = 1,434.77 : x
  2. Step 2: Convert to fraction form
    2,605.15/3,907.47 = 1,434.77/x
  3. Step 3: Cross multiply
    2,605.15x = 3,907.47 × 1,434.77
  4. Step 4: Simplify right side
    2,605.15x = 5,606,320.73
  5. Step 5: Solve for x
    x = 5,606,320.73/2,605.15
  6. Step 6: Final answer
    x = 2,152.01

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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.