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Finding the Fourth Proportional to 2,386.93, 3,577.66 and 924.83

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Solution

The fourth proportional to 2,386.93, 3,577.66 and 924.83 is: 1,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.93 : 3,577.66 = 924.83 : x
  2. Step 2: Convert to fraction form
    2,386.93/3,577.66 = 924.83/x
  3. Step 3: Cross multiply
    2,386.93x = 3,577.66 × 924.83
  4. Step 4: Simplify right side
    2,386.93x = 3,308,727.30
  5. Step 5: Solve for x
    x = 3,308,727.30/2,386.93
  6. Step 6: Final answer
    x = 1,386.19

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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.