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Finding the Fourth Proportional to 2,931.39, 4,044 and 1,751.76

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Solution

The fourth proportional to 2,931.39, 4,044 and 1,751.76 is: 2,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.39 : 4,044 = 1,751.76 : x
  2. Step 2: Convert to fraction form
    2,931.39/4,044 = 1,751.76/x
  3. Step 3: Cross multiply
    2,931.39x = 4,044 × 1,751.76
  4. Step 4: Simplify right side
    2,931.39x = 7,084,117.44
  5. Step 5: Solve for x
    x = 7,084,117.44/2,931.39
  6. Step 6: Final answer
    x = 2,416.64

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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.