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Finding the Fourth Proportional to 2,970.20, 4,466.10 and 2,905.40

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Solution

The fourth proportional to 2,970.20, 4,466.10 and 2,905.40 is: 4,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.20 : 4,466.10 = 2,905.40 : x
  2. Step 2: Convert to fraction form
    2,970.20/4,466.10 = 2,905.40/x
  3. Step 3: Cross multiply
    2,970.20x = 4,466.10 × 2,905.40
  4. Step 4: Simplify right side
    2,970.20x = 12,975,806.94
  5. Step 5: Solve for x
    x = 12,975,806.94/2,970.20
  6. Step 6: Final answer
    x = 4,368.66

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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.