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Finding the Fourth Proportional to 2,394.77, 3,590.93 and 933.53

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Solution

The fourth proportional to 2,394.77, 3,590.93 and 933.53 is: 1,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.77 : 3,590.93 = 933.53 : x
  2. Step 2: Convert to fraction form
    2,394.77/3,590.93 = 933.53/x
  3. Step 3: Cross multiply
    2,394.77x = 3,590.93 × 933.53
  4. Step 4: Simplify right side
    2,394.77x = 3,352,225.26
  5. Step 5: Solve for x
    x = 3,352,225.26/2,394.77
  6. Step 6: Final answer
    x = 1,399.81

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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.