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Finding the Fourth Proportional to 2,041.47, 2,798.90 and 2,004.58

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Solution

The fourth proportional to 2,041.47, 2,798.90 and 2,004.58 is: 2,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.47 : 2,798.90 = 2,004.58 : x
  2. Step 2: Convert to fraction form
    2,041.47/2,798.90 = 2,004.58/x
  3. Step 3: Cross multiply
    2,041.47x = 2,798.90 × 2,004.58
  4. Step 4: Simplify right side
    2,041.47x = 5,610,631.23
  5. Step 5: Solve for x
    x = 5,610,631.23/2,041.47
  6. Step 6: Final answer
    x = 2,748.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.