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Finding the Fourth Proportional to 1,695.84, 2,559.10 and 1,637.88

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Solution

The fourth proportional to 1,695.84, 2,559.10 and 1,637.88 is: 2,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.84 : 2,559.10 = 1,637.88 : x
  2. Step 2: Convert to fraction form
    1,695.84/2,559.10 = 1,637.88/x
  3. Step 3: Cross multiply
    1,695.84x = 2,559.10 × 1,637.88
  4. Step 4: Simplify right side
    1,695.84x = 4,191,498.71
  5. Step 5: Solve for x
    x = 4,191,498.71/1,695.84
  6. Step 6: Final answer
    x = 2,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.