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Finding the Fourth Proportional to 2,108.50, 2,908.88 and 1,223.77

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Solution

The fourth proportional to 2,108.50, 2,908.88 and 1,223.77 is: 1,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.50 : 2,908.88 = 1,223.77 : x
  2. Step 2: Convert to fraction form
    2,108.50/2,908.88 = 1,223.77/x
  3. Step 3: Cross multiply
    2,108.50x = 2,908.88 × 1,223.77
  4. Step 4: Simplify right side
    2,108.50x = 3,559,779.41
  5. Step 5: Solve for x
    x = 3,559,779.41/2,108.50
  6. Step 6: Final answer
    x = 1,688.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.