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Finding the Fourth Proportional to 2,445.36, 3,668.40 and 714.12

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Solution

The fourth proportional to 2,445.36, 3,668.40 and 714.12 is: 1,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.36 : 3,668.40 = 714.12 : x
  2. Step 2: Convert to fraction form
    2,445.36/3,668.40 = 714.12/x
  3. Step 3: Cross multiply
    2,445.36x = 3,668.40 × 714.12
  4. Step 4: Simplify right side
    2,445.36x = 2,619,677.81
  5. Step 5: Solve for x
    x = 2,619,677.81/2,445.36
  6. Step 6: Final answer
    x = 1,071.29

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