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Finding the Fourth Proportional to 1,715.84, 2,367.65 and 1,007.69

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Solution

The fourth proportional to 1,715.84, 2,367.65 and 1,007.69 is: 1,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.84 : 2,367.65 = 1,007.69 : x
  2. Step 2: Convert to fraction form
    1,715.84/2,367.65 = 1,007.69/x
  3. Step 3: Cross multiply
    1,715.84x = 2,367.65 × 1,007.69
  4. Step 4: Simplify right side
    1,715.84x = 2,385,865.67
  5. Step 5: Solve for x
    x = 2,385,865.67/1,715.84
  6. Step 6: Final answer
    x = 1,390.50

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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.