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Finding the Fourth Proportional to 1,637.86, 2,446.36 and 1,407.42

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Solution

The fourth proportional to 1,637.86, 2,446.36 and 1,407.42 is: 2,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.86 : 2,446.36 = 1,407.42 : x
  2. Step 2: Convert to fraction form
    1,637.86/2,446.36 = 1,407.42/x
  3. Step 3: Cross multiply
    1,637.86x = 2,446.36 × 1,407.42
  4. Step 4: Simplify right side
    1,637.86x = 3,443,055.99
  5. Step 5: Solve for x
    x = 3,443,055.99/1,637.86
  6. Step 6: Final answer
    x = 2,102.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.