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Finding the Fourth Proportional to 2,323.40, 3,485.06 and 592

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Solution

The fourth proportional to 2,323.40, 3,485.06 and 592 is: 887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.40 : 3,485.06 = 592 : x
  2. Step 2: Convert to fraction form
    2,323.40/3,485.06 = 592/x
  3. Step 3: Cross multiply
    2,323.40x = 3,485.06 × 592
  4. Step 4: Simplify right side
    2,323.40x = 2,063,155.52
  5. Step 5: Solve for x
    x = 2,063,155.52/2,323.40
  6. Step 6: Final answer
    x = 887.99

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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.