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Finding the Fourth Proportional to 1,503.17, 2,074.62 and 1,111.32

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Solution

The fourth proportional to 1,503.17, 2,074.62 and 1,111.32 is: 1,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.17 : 2,074.62 = 1,111.32 : x
  2. Step 2: Convert to fraction form
    1,503.17/2,074.62 = 1,111.32/x
  3. Step 3: Cross multiply
    1,503.17x = 2,074.62 × 1,111.32
  4. Step 4: Simplify right side
    1,503.17x = 2,305,566.70
  5. Step 5: Solve for x
    x = 2,305,566.70/1,503.17
  6. Step 6: Final answer
    x = 1,533.80

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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.