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Finding the Fourth Proportional to 2,978.04, 4,108.93 and 1,798.89

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Solution

The fourth proportional to 2,978.04, 4,108.93 and 1,798.89 is: 2,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.04 : 4,108.93 = 1,798.89 : x
  2. Step 2: Convert to fraction form
    2,978.04/4,108.93 = 1,798.89/x
  3. Step 3: Cross multiply
    2,978.04x = 4,108.93 × 1,798.89
  4. Step 4: Simplify right side
    2,978.04x = 7,391,513.09
  5. Step 5: Solve for x
    x = 7,391,513.09/2,978.04
  6. Step 6: Final answer
    x = 2,482.01

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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.