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Finding the Fourth Proportional to 2,912.40, 4,368.60 and 2,894.18

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Solution

The fourth proportional to 2,912.40, 4,368.60 and 2,894.18 is: 4,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.40 : 4,368.60 = 2,894.18 : x
  2. Step 2: Convert to fraction form
    2,912.40/4,368.60 = 2,894.18/x
  3. Step 3: Cross multiply
    2,912.40x = 4,368.60 × 2,894.18
  4. Step 4: Simplify right side
    2,912.40x = 12,643,492.91
  5. Step 5: Solve for x
    x = 12,643,492.91/2,912.40
  6. Step 6: Final answer
    x = 4,341.26

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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.