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Finding the Fourth Proportional to 2,070.81, 3,106.12 and 510.74

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Solution

The fourth proportional to 2,070.81, 3,106.12 and 510.74 is: 766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.81 : 3,106.12 = 510.74 : x
  2. Step 2: Convert to fraction form
    2,070.81/3,106.12 = 510.74/x
  3. Step 3: Cross multiply
    2,070.81x = 3,106.12 × 510.74
  4. Step 4: Simplify right side
    2,070.81x = 1,586,404.20
  5. Step 5: Solve for x
    x = 1,586,404.20/2,070.81
  6. Step 6: Final answer
    x = 766.08

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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.