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Finding the Fourth Proportional to 2,357.60, 3,536.57 and 714.28

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Solution

The fourth proportional to 2,357.60, 3,536.57 and 714.28 is: 1,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.60 : 3,536.57 = 714.28 : x
  2. Step 2: Convert to fraction form
    2,357.60/3,536.57 = 714.28/x
  3. Step 3: Cross multiply
    2,357.60x = 3,536.57 × 714.28
  4. Step 4: Simplify right side
    2,357.60x = 2,526,094.16
  5. Step 5: Solve for x
    x = 2,526,094.16/2,357.60
  6. Step 6: Final answer
    x = 1,071.47

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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.