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Finding the Fourth Proportional to 1,537.56, 2,307.06 and 672.12

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Solution

The fourth proportional to 1,537.56, 2,307.06 and 672.12 is: 1,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.56 : 2,307.06 = 672.12 : x
  2. Step 2: Convert to fraction form
    1,537.56/2,307.06 = 672.12/x
  3. Step 3: Cross multiply
    1,537.56x = 2,307.06 × 672.12
  4. Step 4: Simplify right side
    1,537.56x = 1,550,621.17
  5. Step 5: Solve for x
    x = 1,550,621.17/1,537.56
  6. Step 6: Final answer
    x = 1,008.49

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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.