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Finding the Fourth Proportional to 2,307.52, 3,461.20 and 576.12

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Solution

The fourth proportional to 2,307.52, 3,461.20 and 576.12 is: 864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.52 : 3,461.20 = 576.12 : x
  2. Step 2: Convert to fraction form
    2,307.52/3,461.20 = 576.12/x
  3. Step 3: Cross multiply
    2,307.52x = 3,461.20 × 576.12
  4. Step 4: Simplify right side
    2,307.52x = 1,994,066.54
  5. Step 5: Solve for x
    x = 1,994,066.54/2,307.52
  6. Step 6: Final answer
    x = 864.16

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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.