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Finding the Fourth Proportional to 2,307.17, 3,460.68 and 920.85

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Solution

The fourth proportional to 2,307.17, 3,460.68 and 920.85 is: 1,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.17 : 3,460.68 = 920.85 : x
  2. Step 2: Convert to fraction form
    2,307.17/3,460.68 = 920.85/x
  3. Step 3: Cross multiply
    2,307.17x = 3,460.68 × 920.85
  4. Step 4: Simplify right side
    2,307.17x = 3,186,767.18
  5. Step 5: Solve for x
    x = 3,186,767.18/2,307.17
  6. Step 6: Final answer
    x = 1,381.25

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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.