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Finding the Fourth Proportional to 2,993.14, 4,490.07 and 1,019.10

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Solution

The fourth proportional to 2,993.14, 4,490.07 and 1,019.10 is: 1,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.14 : 4,490.07 = 1,019.10 : x
  2. Step 2: Convert to fraction form
    2,993.14/4,490.07 = 1,019.10/x
  3. Step 3: Cross multiply
    2,993.14x = 4,490.07 × 1,019.10
  4. Step 4: Simplify right side
    2,993.14x = 4,575,830.34
  5. Step 5: Solve for x
    x = 4,575,830.34/2,993.14
  6. Step 6: Final answer
    x = 1,528.77

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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.