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Finding the Fourth Proportional to 2,049.07, 3,073.59 and 510.07

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Solution

The fourth proportional to 2,049.07, 3,073.59 and 510.07 is: 765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.07 : 3,073.59 = 510.07 : x
  2. Step 2: Convert to fraction form
    2,049.07/3,073.59 = 510.07/x
  3. Step 3: Cross multiply
    2,049.07x = 3,073.59 × 510.07
  4. Step 4: Simplify right side
    2,049.07x = 1,567,746.05
  5. Step 5: Solve for x
    x = 1,567,746.05/2,049.07
  6. Step 6: Final answer
    x = 765.10

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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.