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Finding the Fourth Proportional to 2,144.54, 2,970.95 and 2,093.51

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Solution

The fourth proportional to 2,144.54, 2,970.95 and 2,093.51 is: 2,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.54 : 2,970.95 = 2,093.51 : x
  2. Step 2: Convert to fraction form
    2,144.54/2,970.95 = 2,093.51/x
  3. Step 3: Cross multiply
    2,144.54x = 2,970.95 × 2,093.51
  4. Step 4: Simplify right side
    2,144.54x = 6,219,710.49
  5. Step 5: Solve for x
    x = 6,219,710.49/2,144.54
  6. Step 6: Final answer
    x = 2,900.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.