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Finding the Fourth Proportional to 1,802.14, 2,703.34 and 632.01

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Solution

The fourth proportional to 1,802.14, 2,703.34 and 632.01 is: 948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.14 : 2,703.34 = 632.01 : x
  2. Step 2: Convert to fraction form
    1,802.14/2,703.34 = 632.01/x
  3. Step 3: Cross multiply
    1,802.14x = 2,703.34 × 632.01
  4. Step 4: Simplify right side
    1,802.14x = 1,708,536.33
  5. Step 5: Solve for x
    x = 1,708,536.33/1,802.14
  6. Step 6: Final answer
    x = 948.06

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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.