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Finding the Fourth Proportional to 2,270.10, 3,133.49 and 1,430.90

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Solution

The fourth proportional to 2,270.10, 3,133.49 and 1,430.90 is: 1,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.10 : 3,133.49 = 1,430.90 : x
  2. Step 2: Convert to fraction form
    2,270.10/3,133.49 = 1,430.90/x
  3. Step 3: Cross multiply
    2,270.10x = 3,133.49 × 1,430.90
  4. Step 4: Simplify right side
    2,270.10x = 4,483,710.84
  5. Step 5: Solve for x
    x = 4,483,710.84/2,270.10
  6. Step 6: Final answer
    x = 1,975.12

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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.