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Finding the Fourth Proportional to 1,951.59, 2,927.79 and 1,130.67

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Solution

The fourth proportional to 1,951.59, 2,927.79 and 1,130.67 is: 1,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.59 : 2,927.79 = 1,130.67 : x
  2. Step 2: Convert to fraction form
    1,951.59/2,927.79 = 1,130.67/x
  3. Step 3: Cross multiply
    1,951.59x = 2,927.79 × 1,130.67
  4. Step 4: Simplify right side
    1,951.59x = 3,310,364.32
  5. Step 5: Solve for x
    x = 3,310,364.32/1,951.59
  6. Step 6: Final answer
    x = 1,696.24

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Why These Related Problems?

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