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Finding the Fourth Proportional to 2,970.13, 4,455.99 and 890.14

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Solution

The fourth proportional to 2,970.13, 4,455.99 and 890.14 is: 1,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.13 : 4,455.99 = 890.14 : x
  2. Step 2: Convert to fraction form
    2,970.13/4,455.99 = 890.14/x
  3. Step 3: Cross multiply
    2,970.13x = 4,455.99 × 890.14
  4. Step 4: Simplify right side
    2,970.13x = 3,966,454.94
  5. Step 5: Solve for x
    x = 3,966,454.94/2,970.13
  6. Step 6: Final answer
    x = 1,335.45

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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.