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Finding the Fourth Proportional to 2,323.84, 3,485.74 and 592.60

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Solution

The fourth proportional to 2,323.84, 3,485.74 and 592.60 is: 888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.84 : 3,485.74 = 592.60 : x
  2. Step 2: Convert to fraction form
    2,323.84/3,485.74 = 592.60/x
  3. Step 3: Cross multiply
    2,323.84x = 3,485.74 × 592.60
  4. Step 4: Simplify right side
    2,323.84x = 2,065,649.52
  5. Step 5: Solve for x
    x = 2,065,649.52/2,323.84
  6. Step 6: Final answer
    x = 888.89

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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.