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Finding the Fourth Proportional to 1,493.51, 2,235.63 and 1,365.93

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Solution

The fourth proportional to 1,493.51, 2,235.63 and 1,365.93 is: 2,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.51 : 2,235.63 = 1,365.93 : x
  2. Step 2: Convert to fraction form
    1,493.51/2,235.63 = 1,365.93/x
  3. Step 3: Cross multiply
    1,493.51x = 2,235.63 × 1,365.93
  4. Step 4: Simplify right side
    1,493.51x = 3,053,719.21
  5. Step 5: Solve for x
    x = 3,053,719.21/1,493.51
  6. Step 6: Final answer
    x = 2,044.67

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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.