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Finding the Fourth Proportional to 2,594.97, 3,581.07 and 1,416.06

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Solution

The fourth proportional to 2,594.97, 3,581.07 and 1,416.06 is: 1,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.97 : 3,581.07 = 1,416.06 : x
  2. Step 2: Convert to fraction form
    2,594.97/3,581.07 = 1,416.06/x
  3. Step 3: Cross multiply
    2,594.97x = 3,581.07 × 1,416.06
  4. Step 4: Simplify right side
    2,594.97x = 5,071,009.98
  5. Step 5: Solve for x
    x = 5,071,009.98/2,594.97
  6. Step 6: Final answer
    x = 1,954.17

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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.