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Finding the Fourth Proportional to 1,407.09, 2,111.08 and 997.03

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Solution

The fourth proportional to 1,407.09, 2,111.08 and 997.03 is: 1,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.09 : 2,111.08 = 997.03 : x
  2. Step 2: Convert to fraction form
    1,407.09/2,111.08 = 997.03/x
  3. Step 3: Cross multiply
    1,407.09x = 2,111.08 × 997.03
  4. Step 4: Simplify right side
    1,407.09x = 2,104,810.09
  5. Step 5: Solve for x
    x = 2,104,810.09/1,407.09
  6. Step 6: Final answer
    x = 1,495.86

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