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Finding the Fourth Proportional to 2,128.02, 2,938.02 and 1,372.12

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Solution

The fourth proportional to 2,128.02, 2,938.02 and 1,372.12 is: 1,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.02 : 2,938.02 = 1,372.12 : x
  2. Step 2: Convert to fraction form
    2,128.02/2,938.02 = 1,372.12/x
  3. Step 3: Cross multiply
    2,128.02x = 2,938.02 × 1,372.12
  4. Step 4: Simplify right side
    2,128.02x = 4,031,316.00
  5. Step 5: Solve for x
    x = 4,031,316.00/2,128.02
  6. Step 6: Final answer
    x = 1,894.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.