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Finding the Fourth Proportional to 2,970.11, 4,455.07 and 1,411.24

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Solution

The fourth proportional to 2,970.11, 4,455.07 and 1,411.24 is: 2,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.11 : 4,455.07 = 1,411.24 : x
  2. Step 2: Convert to fraction form
    2,970.11/4,455.07 = 1,411.24/x
  3. Step 3: Cross multiply
    2,970.11x = 4,455.07 × 1,411.24
  4. Step 4: Simplify right side
    2,970.11x = 6,287,150.71
  5. Step 5: Solve for x
    x = 6,287,150.71/2,970.11
  6. Step 6: Final answer
    x = 2,116.81

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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.