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Finding the Fourth Proportional to 2,307.16, 3,460.98 and 768.28

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Solution

The fourth proportional to 2,307.16, 3,460.98 and 768.28 is: 1,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.16 : 3,460.98 = 768.28 : x
  2. Step 2: Convert to fraction form
    2,307.16/3,460.98 = 768.28/x
  3. Step 3: Cross multiply
    2,307.16x = 3,460.98 × 768.28
  4. Step 4: Simplify right side
    2,307.16x = 2,659,001.71
  5. Step 5: Solve for x
    x = 2,659,001.71/2,307.16
  6. Step 6: Final answer
    x = 1,152.50

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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.