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Finding the Fourth Proportional to 2,367.90, 3,547.92 and 1,440.64

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Solution

The fourth proportional to 2,367.90, 3,547.92 and 1,440.64 is: 2,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.90 : 3,547.92 = 1,440.64 : x
  2. Step 2: Convert to fraction form
    2,367.90/3,547.92 = 1,440.64/x
  3. Step 3: Cross multiply
    2,367.90x = 3,547.92 × 1,440.64
  4. Step 4: Simplify right side
    2,367.90x = 5,111,275.47
  5. Step 5: Solve for x
    x = 5,111,275.47/2,367.90
  6. Step 6: Final answer
    x = 2,158.57

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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.