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Finding the Fourth Proportional to 4,182.66, 6,274.98 and 1,409.10

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Solution

The fourth proportional to 4,182.66, 6,274.98 and 1,409.10 is: 2,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.66 : 6,274.98 = 1,409.10 : x
  2. Step 2: Convert to fraction form
    4,182.66/6,274.98 = 1,409.10/x
  3. Step 3: Cross multiply
    4,182.66x = 6,274.98 × 1,409.10
  4. Step 4: Simplify right side
    4,182.66x = 8,842,074.32
  5. Step 5: Solve for x
    x = 8,842,074.32/4,182.66
  6. Step 6: Final answer
    x = 2,113.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.