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Finding the Fourth Proportional to 2,114.90, 2,918.07 and 1,230.20

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Solution

The fourth proportional to 2,114.90, 2,918.07 and 1,230.20 is: 1,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.90 : 2,918.07 = 1,230.20 : x
  2. Step 2: Convert to fraction form
    2,114.90/2,918.07 = 1,230.20/x
  3. Step 3: Cross multiply
    2,114.90x = 2,918.07 × 1,230.20
  4. Step 4: Simplify right side
    2,114.90x = 3,589,809.71
  5. Step 5: Solve for x
    x = 3,589,809.71/2,114.90
  6. Step 6: Final answer
    x = 1,697.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.