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Finding the Fourth Proportional to 1,518.65, 2,095.77 and 928.97

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Solution

The fourth proportional to 1,518.65, 2,095.77 and 928.97 is: 1,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.65 : 2,095.77 = 928.97 : x
  2. Step 2: Convert to fraction form
    1,518.65/2,095.77 = 928.97/x
  3. Step 3: Cross multiply
    1,518.65x = 2,095.77 × 928.97
  4. Step 4: Simplify right side
    1,518.65x = 1,946,896.98
  5. Step 5: Solve for x
    x = 1,946,896.98/1,518.65
  6. Step 6: Final answer
    x = 1,282.00

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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.