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Finding the Fourth Proportional to 2,114.64, 2,918.75 and 1,407.67

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Solution

The fourth proportional to 2,114.64, 2,918.75 and 1,407.67 is: 1,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.64 : 2,918.75 = 1,407.67 : x
  2. Step 2: Convert to fraction form
    2,114.64/2,918.75 = 1,407.67/x
  3. Step 3: Cross multiply
    2,114.64x = 2,918.75 × 1,407.67
  4. Step 4: Simplify right side
    2,114.64x = 4,108,636.81
  5. Step 5: Solve for x
    x = 4,108,636.81/2,114.64
  6. Step 6: Final answer
    x = 1,942.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.