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Finding the Fourth Proportional to 1,492.86, 2,060.31 and 863.58

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Solution

The fourth proportional to 1,492.86, 2,060.31 and 863.58 is: 1,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.86 : 2,060.31 = 863.58 : x
  2. Step 2: Convert to fraction form
    1,492.86/2,060.31 = 863.58/x
  3. Step 3: Cross multiply
    1,492.86x = 2,060.31 × 863.58
  4. Step 4: Simplify right side
    1,492.86x = 1,779,242.51
  5. Step 5: Solve for x
    x = 1,779,242.51/1,492.86
  6. Step 6: Final answer
    x = 1,191.83

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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.