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Finding the Fourth Proportional to 1,985.88, 2,740.32 and 1,146.66

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Solution

The fourth proportional to 1,985.88, 2,740.32 and 1,146.66 is: 1,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.88 : 2,740.32 = 1,146.66 : x
  2. Step 2: Convert to fraction form
    1,985.88/2,740.32 = 1,146.66/x
  3. Step 3: Cross multiply
    1,985.88x = 2,740.32 × 1,146.66
  4. Step 4: Simplify right side
    1,985.88x = 3,142,215.33
  5. Step 5: Solve for x
    x = 3,142,215.33/1,985.88
  6. Step 6: Final answer
    x = 1,582.28

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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.