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Finding the Fourth Proportional to 2,970.14, 4,453.96 and 890.45

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Solution

The fourth proportional to 2,970.14, 4,453.96 and 890.45 is: 1,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.14 : 4,453.96 = 890.45 : x
  2. Step 2: Convert to fraction form
    2,970.14/4,453.96 = 890.45/x
  3. Step 3: Cross multiply
    2,970.14x = 4,453.96 × 890.45
  4. Step 4: Simplify right side
    2,970.14x = 3,966,004.19
  5. Step 5: Solve for x
    x = 3,966,004.19/2,970.14
  6. Step 6: Final answer
    x = 1,335.29

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1.5x scale

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.