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Finding the Fourth Proportional to 2,095.88, 2,894.13 and 1,571.00

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Solution

The fourth proportional to 2,095.88, 2,894.13 and 1,571.00 is: 2,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.88 : 2,894.13 = 1,571.00 : x
  2. Step 2: Convert to fraction form
    2,095.88/2,894.13 = 1,571.00/x
  3. Step 3: Cross multiply
    2,095.88x = 2,894.13 × 1,571.00
  4. Step 4: Simplify right side
    2,095.88x = 4,546,663.76
  5. Step 5: Solve for x
    x = 4,546,663.76/2,095.88
  6. Step 6: Final answer
    x = 2,169.34

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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.