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Finding the Fourth Proportional to 1,583.48, 2,185.47 and 920.72

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Solution

The fourth proportional to 1,583.48, 2,185.47 and 920.72 is: 1,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.48 : 2,185.47 = 920.72 : x
  2. Step 2: Convert to fraction form
    1,583.48/2,185.47 = 920.72/x
  3. Step 3: Cross multiply
    1,583.48x = 2,185.47 × 920.72
  4. Step 4: Simplify right side
    1,583.48x = 2,012,199.11
  5. Step 5: Solve for x
    x = 2,012,199.11/1,583.48
  6. Step 6: Final answer
    x = 1,270.75

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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.