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Finding the Fourth Proportional to 2,993.18, 4,130.71 and 1,666.87

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Solution

The fourth proportional to 2,993.18, 4,130.71 and 1,666.87 is: 2,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.18 : 4,130.71 = 1,666.87 : x
  2. Step 2: Convert to fraction form
    2,993.18/4,130.71 = 1,666.87/x
  3. Step 3: Cross multiply
    2,993.18x = 4,130.71 × 1,666.87
  4. Step 4: Simplify right side
    2,993.18x = 6,885,342.08
  5. Step 5: Solve for x
    x = 6,885,342.08/2,993.18
  6. Step 6: Final answer
    x = 2,300.35

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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.