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Finding the Fourth Proportional to 1,762.42, 2,643.82 and 608.18

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Solution

The fourth proportional to 1,762.42, 2,643.82 and 608.18 is: 912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.42 : 2,643.82 = 608.18 : x
  2. Step 2: Convert to fraction form
    1,762.42/2,643.82 = 608.18/x
  3. Step 3: Cross multiply
    1,762.42x = 2,643.82 × 608.18
  4. Step 4: Simplify right side
    1,762.42x = 1,607,918.45
  5. Step 5: Solve for x
    x = 1,607,918.45/1,762.42
  6. Step 6: Final answer
    x = 912.34

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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.