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Finding the Fourth Proportional to 2,970.73, 4,458.30 and 1,410.73

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Solution

The fourth proportional to 2,970.73, 4,458.30 and 1,410.73 is: 2,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.73 : 4,458.30 = 1,410.73 : x
  2. Step 2: Convert to fraction form
    2,970.73/4,458.30 = 1,410.73/x
  3. Step 3: Cross multiply
    2,970.73x = 4,458.30 × 1,410.73
  4. Step 4: Simplify right side
    2,970.73x = 6,289,457.56
  5. Step 5: Solve for x
    x = 6,289,457.56/2,970.73
  6. Step 6: Final answer
    x = 2,117.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.