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Finding the Fourth Proportional to 2,970.65, 4,454.67 and 1,411.10

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Solution

The fourth proportional to 2,970.65, 4,454.67 and 1,411.10 is: 2,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.65 : 4,454.67 = 1,411.10 : x
  2. Step 2: Convert to fraction form
    2,970.65/4,454.67 = 1,411.10/x
  3. Step 3: Cross multiply
    2,970.65x = 4,454.67 × 1,411.10
  4. Step 4: Simplify right side
    2,970.65x = 6,285,984.84
  5. Step 5: Solve for x
    x = 6,285,984.84/2,970.65
  6. Step 6: Final answer
    x = 2,116.03

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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.