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Finding the Fourth Proportional to 3,041.84, 4,197.79 and 1,782.60

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Solution

The fourth proportional to 3,041.84, 4,197.79 and 1,782.60 is: 2,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.84 : 4,197.79 = 1,782.60 : x
  2. Step 2: Convert to fraction form
    3,041.84/4,197.79 = 1,782.60/x
  3. Step 3: Cross multiply
    3,041.84x = 4,197.79 × 1,782.60
  4. Step 4: Simplify right side
    3,041.84x = 7,482,980.45
  5. Step 5: Solve for x
    x = 7,482,980.45/3,041.84
  6. Step 6: Final answer
    x = 2,460.02

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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.