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Finding the Fourth Proportional to 3,130.35, 4,696.65 and 1,465.98

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Solution

The fourth proportional to 3,130.35, 4,696.65 and 1,465.98 is: 2,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.35 : 4,696.65 = 1,465.98 : x
  2. Step 2: Convert to fraction form
    3,130.35/4,696.65 = 1,465.98/x
  3. Step 3: Cross multiply
    3,130.35x = 4,696.65 × 1,465.98
  4. Step 4: Simplify right side
    3,130.35x = 6,885,194.97
  5. Step 5: Solve for x
    x = 6,885,194.97/3,130.35
  6. Step 6: Final answer
    x = 2,199.50

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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.