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Finding the Fourth Proportional to 2,596.46, 3,582.63 and 1,477.31

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Solution

The fourth proportional to 2,596.46, 3,582.63 and 1,477.31 is: 2,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.46 : 3,582.63 = 1,477.31 : x
  2. Step 2: Convert to fraction form
    2,596.46/3,582.63 = 1,477.31/x
  3. Step 3: Cross multiply
    2,596.46x = 3,582.63 × 1,477.31
  4. Step 4: Simplify right side
    2,596.46x = 5,292,637.21
  5. Step 5: Solve for x
    x = 5,292,637.21/2,596.46
  6. Step 6: Final answer
    x = 2,038.41

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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.