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Finding the Fourth Proportional to 2,165.12, 2,988.12 and 2,097.08

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Solution

The fourth proportional to 2,165.12, 2,988.12 and 2,097.08 is: 2,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.12 : 2,988.12 = 2,097.08 : x
  2. Step 2: Convert to fraction form
    2,165.12/2,988.12 = 2,097.08/x
  3. Step 3: Cross multiply
    2,165.12x = 2,988.12 × 2,097.08
  4. Step 4: Simplify right side
    2,165.12x = 6,266,326.69
  5. Step 5: Solve for x
    x = 6,266,326.69/2,165.12
  6. Step 6: Final answer
    x = 2,894.22

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1.5x scale

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.