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Finding the Fourth Proportional to 2,752, 4,117.64 and 1,931.90

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Solution

The fourth proportional to 2,752, 4,117.64 and 1,931.90 is: 2,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752 : 4,117.64 = 1,931.90 : x
  2. Step 2: Convert to fraction form
    2,752/4,117.64 = 1,931.90/x
  3. Step 3: Cross multiply
    2,752x = 4,117.64 × 1,931.90
  4. Step 4: Simplify right side
    2,752x = 7,954,868.72
  5. Step 5: Solve for x
    x = 7,954,868.72/2,752
  6. Step 6: Final answer
    x = 2,890.58

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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.