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Finding the Fourth Proportional to 1,409.12, 2,111.52 and 792.08

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Solution

The fourth proportional to 1,409.12, 2,111.52 and 792.08 is: 1,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.12 : 2,111.52 = 792.08 : x
  2. Step 2: Convert to fraction form
    1,409.12/2,111.52 = 792.08/x
  3. Step 3: Cross multiply
    1,409.12x = 2,111.52 × 792.08
  4. Step 4: Simplify right side
    1,409.12x = 1,672,492.76
  5. Step 5: Solve for x
    x = 1,672,492.76/1,409.12
  6. Step 6: Final answer
    x = 1,186.91

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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.