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Finding the Fourth Proportional to 1,637.94, 2,457.36 and 713.58

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Solution

The fourth proportional to 1,637.94, 2,457.36 and 713.58 is: 1,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.94 : 2,457.36 = 713.58 : x
  2. Step 2: Convert to fraction form
    1,637.94/2,457.36 = 713.58/x
  3. Step 3: Cross multiply
    1,637.94x = 2,457.36 × 713.58
  4. Step 4: Simplify right side
    1,637.94x = 1,753,522.95
  5. Step 5: Solve for x
    x = 1,753,522.95/1,637.94
  6. Step 6: Final answer
    x = 1,070.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.