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Finding the Fourth Proportional to 2,364.40, 3,541.30 and 1,840.32

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Solution

The fourth proportional to 2,364.40, 3,541.30 and 1,840.32 is: 2,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.40 : 3,541.30 = 1,840.32 : x
  2. Step 2: Convert to fraction form
    2,364.40/3,541.30 = 1,840.32/x
  3. Step 3: Cross multiply
    2,364.40x = 3,541.30 × 1,840.32
  4. Step 4: Simplify right side
    2,364.40x = 6,517,125.22
  5. Step 5: Solve for x
    x = 6,517,125.22/2,364.40
  6. Step 6: Final answer
    x = 2,756.35

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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.