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Finding the Fourth Proportional to 1,583.00, 2,365.48 and 1,185.10

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Solution

The fourth proportional to 1,583.00, 2,365.48 and 1,185.10 is: 1,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.00 : 2,365.48 = 1,185.10 : x
  2. Step 2: Convert to fraction form
    1,583.00/2,365.48 = 1,185.10/x
  3. Step 3: Cross multiply
    1,583.00x = 2,365.48 × 1,185.10
  4. Step 4: Simplify right side
    1,583.00x = 2,803,339.22
  5. Step 5: Solve for x
    x = 2,803,339.22/1,583.00
  6. Step 6: Final answer
    x = 1,770.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.