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Finding the Fourth Proportional to 2,466.66, 3,698.16 and 1,492.53

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Solution

The fourth proportional to 2,466.66, 3,698.16 and 1,492.53 is: 2,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.66 : 3,698.16 = 1,492.53 : x
  2. Step 2: Convert to fraction form
    2,466.66/3,698.16 = 1,492.53/x
  3. Step 3: Cross multiply
    2,466.66x = 3,698.16 × 1,492.53
  4. Step 4: Simplify right side
    2,466.66x = 5,519,614.74
  5. Step 5: Solve for x
    x = 5,519,614.74/2,466.66
  6. Step 6: Final answer
    x = 2,237.69

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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.