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Finding the Fourth Proportional to 3,254.64, 4,492.98 and 2,458.26

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Solution

The fourth proportional to 3,254.64, 4,492.98 and 2,458.26 is: 3,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.64 : 4,492.98 = 2,458.26 : x
  2. Step 2: Convert to fraction form
    3,254.64/4,492.98 = 2,458.26/x
  3. Step 3: Cross multiply
    3,254.64x = 4,492.98 × 2,458.26
  4. Step 4: Simplify right side
    3,254.64x = 11,044,913.01
  5. Step 5: Solve for x
    x = 11,044,913.01/3,254.64
  6. Step 6: Final answer
    x = 3,393.59

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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.