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Finding the Fourth Proportional to 1,697.47, 2,342.63 and 951.50

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Solution

The fourth proportional to 1,697.47, 2,342.63 and 951.50 is: 1,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.47 : 2,342.63 = 951.50 : x
  2. Step 2: Convert to fraction form
    1,697.47/2,342.63 = 951.50/x
  3. Step 3: Cross multiply
    1,697.47x = 2,342.63 × 951.50
  4. Step 4: Simplify right side
    1,697.47x = 2,229,014.71
  5. Step 5: Solve for x
    x = 2,229,014.71/1,697.47
  6. Step 6: Final answer
    x = 1,313.14

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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.