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Finding the Fourth Proportional to 1,592.11, 2,196.93 and 928.50

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Solution

The fourth proportional to 1,592.11, 2,196.93 and 928.50 is: 1,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.11 : 2,196.93 = 928.50 : x
  2. Step 2: Convert to fraction form
    1,592.11/2,196.93 = 928.50/x
  3. Step 3: Cross multiply
    1,592.11x = 2,196.93 × 928.50
  4. Step 4: Simplify right side
    1,592.11x = 2,039,849.51
  5. Step 5: Solve for x
    x = 2,039,849.51/1,592.11
  6. Step 6: Final answer
    x = 1,281.22

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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.