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Finding the Fourth Proportional to 3,043.01, 4,199.37 and 1,645.76

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Solution

The fourth proportional to 3,043.01, 4,199.37 and 1,645.76 is: 2,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.01 : 4,199.37 = 1,645.76 : x
  2. Step 2: Convert to fraction form
    3,043.01/4,199.37 = 1,645.76/x
  3. Step 3: Cross multiply
    3,043.01x = 4,199.37 × 1,645.76
  4. Step 4: Simplify right side
    3,043.01x = 6,911,155.17
  5. Step 5: Solve for x
    x = 6,911,155.17/3,043.01
  6. Step 6: Final answer
    x = 2,271.16

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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.