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Finding the Fourth Proportional to 2,340, 3,504.36 and 1,297.53

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Solution

The fourth proportional to 2,340, 3,504.36 and 1,297.53 is: 1,943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340 : 3,504.36 = 1,297.53 : x
  2. Step 2: Convert to fraction form
    2,340/3,504.36 = 1,297.53/x
  3. Step 3: Cross multiply
    2,340x = 3,504.36 × 1,297.53
  4. Step 4: Simplify right side
    2,340x = 4,547,012.23
  5. Step 5: Solve for x
    x = 4,547,012.23/2,340
  6. Step 6: Final answer
    x = 1,943.17

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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.