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Finding the Fourth Proportional to 2,065.24, 3,097.70 and 526.20

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Solution

The fourth proportional to 2,065.24, 3,097.70 and 526.20 is: 789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.24 : 3,097.70 = 526.20 : x
  2. Step 2: Convert to fraction form
    2,065.24/3,097.70 = 526.20/x
  3. Step 3: Cross multiply
    2,065.24x = 3,097.70 × 526.20
  4. Step 4: Simplify right side
    2,065.24x = 1,630,009.74
  5. Step 5: Solve for x
    x = 1,630,009.74/2,065.24
  6. Step 6: Final answer
    x = 789.26

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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.