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Finding the Fourth Proportional to 1,492.07, 2,233.31 and 797.00

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Solution

The fourth proportional to 1,492.07, 2,233.31 and 797.00 is: 1,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.07 : 2,233.31 = 797.00 : x
  2. Step 2: Convert to fraction form
    1,492.07/2,233.31 = 797.00/x
  3. Step 3: Cross multiply
    1,492.07x = 2,233.31 × 797.00
  4. Step 4: Simplify right side
    1,492.07x = 1,779,932.92
  5. Step 5: Solve for x
    x = 1,779,932.92/1,492.07
  6. Step 6: Final answer
    x = 1,192.93

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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.