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Finding the Fourth Proportional to 1,529.75, 2,111.01 and 900.26

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Solution

The fourth proportional to 1,529.75, 2,111.01 and 900.26 is: 1,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.75 : 2,111.01 = 900.26 : x
  2. Step 2: Convert to fraction form
    1,529.75/2,111.01 = 900.26/x
  3. Step 3: Cross multiply
    1,529.75x = 2,111.01 × 900.26
  4. Step 4: Simplify right side
    1,529.75x = 1,900,457.86
  5. Step 5: Solve for x
    x = 1,900,457.86/1,529.75
  6. Step 6: Final answer
    x = 1,242.33

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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.