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Finding the Fourth Proportional to 2,259.21, 3,389.06 and 615.77

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Solution

The fourth proportional to 2,259.21, 3,389.06 and 615.77 is: 923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.21 : 3,389.06 = 615.77 : x
  2. Step 2: Convert to fraction form
    2,259.21/3,389.06 = 615.77/x
  3. Step 3: Cross multiply
    2,259.21x = 3,389.06 × 615.77
  4. Step 4: Simplify right side
    2,259.21x = 2,086,881.48
  5. Step 5: Solve for x
    x = 2,086,881.48/2,259.21
  6. Step 6: Final answer
    x = 923.72

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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.