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Finding the Fourth Proportional to 1,582.01, 2,369.42 and 760.87

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Solution

The fourth proportional to 1,582.01, 2,369.42 and 760.87 is: 1,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.01 : 2,369.42 = 760.87 : x
  2. Step 2: Convert to fraction form
    1,582.01/2,369.42 = 760.87/x
  3. Step 3: Cross multiply
    1,582.01x = 2,369.42 × 760.87
  4. Step 4: Simplify right side
    1,582.01x = 1,802,820.60
  5. Step 5: Solve for x
    x = 1,802,820.60/1,582.01
  6. Step 6: Final answer
    x = 1,139.58

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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.