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Finding the Fourth Proportional to 1,698, 2,546.88 and 602.40

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Solution

The fourth proportional to 1,698, 2,546.88 and 602.40 is: 903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698 : 2,546.88 = 602.40 : x
  2. Step 2: Convert to fraction form
    1,698/2,546.88 = 602.40/x
  3. Step 3: Cross multiply
    1,698x = 2,546.88 × 602.40
  4. Step 4: Simplify right side
    1,698x = 1,534,240.51
  5. Step 5: Solve for x
    x = 1,534,240.51/1,698
  6. Step 6: Final answer
    x = 903.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.