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Finding the Fourth Proportional to 2,688.63, 4,032.24 and 1,207

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Solution

The fourth proportional to 2,688.63, 4,032.24 and 1,207 is: 1,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.63 : 4,032.24 = 1,207 : x
  2. Step 2: Convert to fraction form
    2,688.63/4,032.24 = 1,207/x
  3. Step 3: Cross multiply
    2,688.63x = 4,032.24 × 1,207
  4. Step 4: Simplify right side
    2,688.63x = 4,866,913.68
  5. Step 5: Solve for x
    x = 4,866,913.68/2,688.63
  6. Step 6: Final answer
    x = 1,810.18

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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.