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Finding the Fourth Proportional to 2,900.37, 4,345.65 and 2,284.77

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Solution

The fourth proportional to 2,900.37, 4,345.65 and 2,284.77 is: 3,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.37 : 4,345.65 = 2,284.77 : x
  2. Step 2: Convert to fraction form
    2,900.37/4,345.65 = 2,284.77/x
  3. Step 3: Cross multiply
    2,900.37x = 4,345.65 × 2,284.77
  4. Step 4: Simplify right side
    2,900.37x = 9,928,810.75
  5. Step 5: Solve for x
    x = 9,928,810.75/2,900.37
  6. Step 6: Final answer
    x = 3,423.29

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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.