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Finding the Fourth Proportional to 2,596.07, 3,582.14 and 2,464.72

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Solution

The fourth proportional to 2,596.07, 3,582.14 and 2,464.72 is: 3,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.07 : 3,582.14 = 2,464.72 : x
  2. Step 2: Convert to fraction form
    2,596.07/3,582.14 = 2,464.72/x
  3. Step 3: Cross multiply
    2,596.07x = 3,582.14 × 2,464.72
  4. Step 4: Simplify right side
    2,596.07x = 8,828,950.82
  5. Step 5: Solve for x
    x = 8,828,950.82/2,596.07
  6. Step 6: Final answer
    x = 3,400.89

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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.