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Finding the Fourth Proportional to 2,093.16, 2,888.50 and 1,209.24

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Solution

The fourth proportional to 2,093.16, 2,888.50 and 1,209.24 is: 1,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.16 : 2,888.50 = 1,209.24 : x
  2. Step 2: Convert to fraction form
    2,093.16/2,888.50 = 1,209.24/x
  3. Step 3: Cross multiply
    2,093.16x = 2,888.50 × 1,209.24
  4. Step 4: Simplify right side
    2,093.16x = 3,492,889.74
  5. Step 5: Solve for x
    x = 3,492,889.74/2,093.16
  6. Step 6: Final answer
    x = 1,668.72

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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.