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Finding the Fourth Proportional to 1,637.80, 2,457.06 and 944.80

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Solution

The fourth proportional to 1,637.80, 2,457.06 and 944.80 is: 1,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.80 : 2,457.06 = 944.80 : x
  2. Step 2: Convert to fraction form
    1,637.80/2,457.06 = 944.80/x
  3. Step 3: Cross multiply
    1,637.80x = 2,457.06 × 944.80
  4. Step 4: Simplify right side
    1,637.80x = 2,321,430.29
  5. Step 5: Solve for x
    x = 2,321,430.29/1,637.80
  6. Step 6: Final answer
    x = 1,417.41

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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.