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Finding the Fourth Proportional to 2,277.90, 3,417.93 and 817.20

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Solution

The fourth proportional to 2,277.90, 3,417.93 and 817.20 is: 1,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.90 : 3,417.93 = 817.20 : x
  2. Step 2: Convert to fraction form
    2,277.90/3,417.93 = 817.20/x
  3. Step 3: Cross multiply
    2,277.90x = 3,417.93 × 817.20
  4. Step 4: Simplify right side
    2,277.90x = 2,793,132.40
  5. Step 5: Solve for x
    x = 2,793,132.40/2,277.90
  6. Step 6: Final answer
    x = 1,226.19

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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.