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Finding the Fourth Proportional to 2,993.12, 4,130.70 and 2,060

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Solution

The fourth proportional to 2,993.12, 4,130.70 and 2,060 is: 2,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.12 : 4,130.70 = 2,060 : x
  2. Step 2: Convert to fraction form
    2,993.12/4,130.70 = 2,060/x
  3. Step 3: Cross multiply
    2,993.12x = 4,130.70 × 2,060
  4. Step 4: Simplify right side
    2,993.12x = 8,509,242
  5. Step 5: Solve for x
    x = 8,509,242/2,993.12
  6. Step 6: Final answer
    x = 2,842.93

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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.