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Finding the Fourth Proportional to 1,693.84, 2,539.80 and 597.84

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Solution

The fourth proportional to 1,693.84, 2,539.80 and 597.84 is: 896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.84 : 2,539.80 = 597.84 : x
  2. Step 2: Convert to fraction form
    1,693.84/2,539.80 = 597.84/x
  3. Step 3: Cross multiply
    1,693.84x = 2,539.80 × 597.84
  4. Step 4: Simplify right side
    1,693.84x = 1,518,394.03
  5. Step 5: Solve for x
    x = 1,518,394.03/1,693.84
  6. Step 6: Final answer
    x = 896.42

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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.