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Finding the Fourth Proportional to 1,758.30, 2,420.92 and 1,492.22

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Solution

The fourth proportional to 1,758.30, 2,420.92 and 1,492.22 is: 2,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.30 : 2,420.92 = 1,492.22 : x
  2. Step 2: Convert to fraction form
    1,758.30/2,420.92 = 1,492.22/x
  3. Step 3: Cross multiply
    1,758.30x = 2,420.92 × 1,492.22
  4. Step 4: Simplify right side
    1,758.30x = 3,612,529.41
  5. Step 5: Solve for x
    x = 3,612,529.41/1,758.30
  6. Step 6: Final answer
    x = 2,054.56

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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.