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Finding the Fourth Proportional to 2,386.16, 3,578.93 and 924.31

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Solution

The fourth proportional to 2,386.16, 3,578.93 and 924.31 is: 1,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.16 : 3,578.93 = 924.31 : x
  2. Step 2: Convert to fraction form
    2,386.16/3,578.93 = 924.31/x
  3. Step 3: Cross multiply
    2,386.16x = 3,578.93 × 924.31
  4. Step 4: Simplify right side
    2,386.16x = 3,308,040.79
  5. Step 5: Solve for x
    x = 3,308,040.79/2,386.16
  6. Step 6: Final answer
    x = 1,386.34

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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.