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Finding the Fourth Proportional to 2,088.51, 3,133.12 and 701.98

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Solution

The fourth proportional to 2,088.51, 3,133.12 and 701.98 is: 1,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.51 : 3,133.12 = 701.98 : x
  2. Step 2: Convert to fraction form
    2,088.51/3,133.12 = 701.98/x
  3. Step 3: Cross multiply
    2,088.51x = 3,133.12 × 701.98
  4. Step 4: Simplify right side
    2,088.51x = 2,199,387.58
  5. Step 5: Solve for x
    x = 2,199,387.58/2,088.51
  6. Step 6: Final answer
    x = 1,053.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.