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Finding the Fourth Proportional to 2,323.78, 3,485.58 and 592.39

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Solution

The fourth proportional to 2,323.78, 3,485.58 and 592.39 is: 888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.78 : 3,485.58 = 592.39 : x
  2. Step 2: Convert to fraction form
    2,323.78/3,485.58 = 592.39/x
  3. Step 3: Cross multiply
    2,323.78x = 3,485.58 × 592.39
  4. Step 4: Simplify right side
    2,323.78x = 2,064,822.74
  5. Step 5: Solve for x
    x = 2,064,822.74/2,323.78
  6. Step 6: Final answer
    x = 888.56

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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.