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Finding the Fourth Proportional to 2,097.75, 3,130.68 and 2,013.00

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Solution

The fourth proportional to 2,097.75, 3,130.68 and 2,013.00 is: 3,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.75 : 3,130.68 = 2,013.00 : x
  2. Step 2: Convert to fraction form
    2,097.75/3,130.68 = 2,013.00/x
  3. Step 3: Cross multiply
    2,097.75x = 3,130.68 × 2,013.00
  4. Step 4: Simplify right side
    2,097.75x = 6,302,054.65
  5. Step 5: Solve for x
    x = 6,302,054.65/2,097.75
  6. Step 6: Final answer
    x = 3,004.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.