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Finding the Fourth Proportional to 3,041.54, 4,197.40 and 1,783.50

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Solution

The fourth proportional to 3,041.54, 4,197.40 and 1,783.50 is: 2,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.54 : 4,197.40 = 1,783.50 : x
  2. Step 2: Convert to fraction form
    3,041.54/4,197.40 = 1,783.50/x
  3. Step 3: Cross multiply
    3,041.54x = 4,197.40 × 1,783.50
  4. Step 4: Simplify right side
    3,041.54x = 7,486,062.90
  5. Step 5: Solve for x
    x = 7,486,062.90/3,041.54
  6. Step 6: Final answer
    x = 2,461.27

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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.