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Finding the Fourth Proportional to 1,715.68, 2,367.63 and 929.72

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Solution

The fourth proportional to 1,715.68, 2,367.63 and 929.72 is: 1,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.68 : 2,367.63 = 929.72 : x
  2. Step 2: Convert to fraction form
    1,715.68/2,367.63 = 929.72/x
  3. Step 3: Cross multiply
    1,715.68x = 2,367.63 × 929.72
  4. Step 4: Simplify right side
    1,715.68x = 2,201,238.88
  5. Step 5: Solve for x
    x = 2,201,238.88/1,715.68
  6. Step 6: Final answer
    x = 1,283.01

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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.