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Finding the Fourth Proportional to 1,715, 2,367.72 and 1,300.28

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Solution

The fourth proportional to 1,715, 2,367.72 and 1,300.28 is: 1,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715 : 2,367.72 = 1,300.28 : x
  2. Step 2: Convert to fraction form
    1,715/2,367.72 = 1,300.28/x
  3. Step 3: Cross multiply
    1,715x = 2,367.72 × 1,300.28
  4. Step 4: Simplify right side
    1,715x = 3,078,698.96
  5. Step 5: Solve for x
    x = 3,078,698.96/1,715
  6. Step 6: Final answer
    x = 1,795.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.