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Finding the Fourth Proportional to 2,114.10, 2,952.45 and 2,114.10

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Solution

The fourth proportional to 2,114.10, 2,952.45 and 2,114.10 is: 2,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.10 : 2,952.45 = 2,114.10 : x
  2. Step 2: Convert to fraction form
    2,114.10/2,952.45 = 2,114.10/x
  3. Step 3: Cross multiply
    2,114.10x = 2,952.45 × 2,114.10
  4. Step 4: Simplify right side
    2,114.10x = 6,241,774.55
  5. Step 5: Solve for x
    x = 6,241,774.55/2,114.10
  6. Step 6: Final answer
    x = 2,952.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.