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Finding the Fourth Proportional to 2,020.64, 3,030.93 and 652.64

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Solution

The fourth proportional to 2,020.64, 3,030.93 and 652.64 is: 978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.64 : 3,030.93 = 652.64 : x
  2. Step 2: Convert to fraction form
    2,020.64/3,030.93 = 652.64/x
  3. Step 3: Cross multiply
    2,020.64x = 3,030.93 × 652.64
  4. Step 4: Simplify right side
    2,020.64x = 1,978,106.16
  5. Step 5: Solve for x
    x = 1,978,106.16/2,020.64
  6. Step 6: Final answer
    x = 978.95

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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.