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Finding the Fourth Proportional to 2,597.33, 3,894.72 and 1,210.34

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Solution

The fourth proportional to 2,597.33, 3,894.72 and 1,210.34 is: 1,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.33 : 3,894.72 = 1,210.34 : x
  2. Step 2: Convert to fraction form
    2,597.33/3,894.72 = 1,210.34/x
  3. Step 3: Cross multiply
    2,597.33x = 3,894.72 × 1,210.34
  4. Step 4: Simplify right side
    2,597.33x = 4,713,915.93
  5. Step 5: Solve for x
    x = 4,713,915.93/2,597.33
  6. Step 6: Final answer
    x = 1,814.91

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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.