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Finding the Fourth Proportional to 1,662.51, 2,292.80 and 999.12

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Solution

The fourth proportional to 1,662.51, 2,292.80 and 999.12 is: 1,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.51 : 2,292.80 = 999.12 : x
  2. Step 2: Convert to fraction form
    1,662.51/2,292.80 = 999.12/x
  3. Step 3: Cross multiply
    1,662.51x = 2,292.80 × 999.12
  4. Step 4: Simplify right side
    1,662.51x = 2,290,782.34
  5. Step 5: Solve for x
    x = 2,290,782.34/1,662.51
  6. Step 6: Final answer
    x = 1,377.91

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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.