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Finding the Fourth Proportional to 2,164.58, 2,988.56 and 1,666.34

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Solution

The fourth proportional to 2,164.58, 2,988.56 and 1,666.34 is: 2,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.58 : 2,988.56 = 1,666.34 : x
  2. Step 2: Convert to fraction form
    2,164.58/2,988.56 = 1,666.34/x
  3. Step 3: Cross multiply
    2,164.58x = 2,988.56 × 1,666.34
  4. Step 4: Simplify right side
    2,164.58x = 4,979,957.07
  5. Step 5: Solve for x
    x = 4,979,957.07/2,164.58
  6. Step 6: Final answer
    x = 2,300.66

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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.