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Finding the Fourth Proportional to 2,358.40, 3,536.73 and 714.46

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Solution

The fourth proportional to 2,358.40, 3,536.73 and 714.46 is: 1,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.40 : 3,536.73 = 714.46 : x
  2. Step 2: Convert to fraction form
    2,358.40/3,536.73 = 714.46/x
  3. Step 3: Cross multiply
    2,358.40x = 3,536.73 × 714.46
  4. Step 4: Simplify right side
    2,358.40x = 2,526,852.12
  5. Step 5: Solve for x
    x = 2,526,852.12/2,358.40
  6. Step 6: Final answer
    x = 1,071.43

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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.