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Finding the Fourth Proportional to 2,153.79, 2,971.98 and 1,209.45

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Solution

The fourth proportional to 2,153.79, 2,971.98 and 1,209.45 is: 1,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.79 : 2,971.98 = 1,209.45 : x
  2. Step 2: Convert to fraction form
    2,153.79/2,971.98 = 1,209.45/x
  3. Step 3: Cross multiply
    2,153.79x = 2,971.98 × 1,209.45
  4. Step 4: Simplify right side
    2,153.79x = 3,594,461.21
  5. Step 5: Solve for x
    x = 3,594,461.21/2,153.79
  6. Step 6: Final answer
    x = 1,668.90

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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.