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Finding the Fourth Proportional to 1,735.44, 2,397.44 and 1,502.16

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Solution

The fourth proportional to 1,735.44, 2,397.44 and 1,502.16 is: 2,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.44 : 2,397.44 = 1,502.16 : x
  2. Step 2: Convert to fraction form
    1,735.44/2,397.44 = 1,502.16/x
  3. Step 3: Cross multiply
    1,735.44x = 2,397.44 × 1,502.16
  4. Step 4: Simplify right side
    1,735.44x = 3,601,338.47
  5. Step 5: Solve for x
    x = 3,601,338.47/1,735.44
  6. Step 6: Final answer
    x = 2,075.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.