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Finding the Fourth Proportional to 2,297.00, 3,445.02 and 653.11

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Solution

The fourth proportional to 2,297.00, 3,445.02 and 653.11 is: 979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.00 : 3,445.02 = 653.11 : x
  2. Step 2: Convert to fraction form
    2,297.00/3,445.02 = 653.11/x
  3. Step 3: Cross multiply
    2,297.00x = 3,445.02 × 653.11
  4. Step 4: Simplify right side
    2,297.00x = 2,249,968.40
  5. Step 5: Solve for x
    x = 2,249,968.40/2,297.00
  6. Step 6: Final answer
    x = 979.52

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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.