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Finding the Fourth Proportional to 2,596.35, 3,582.88 and 1,417.41

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Solution

The fourth proportional to 2,596.35, 3,582.88 and 1,417.41 is: 1,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.35 : 3,582.88 = 1,417.41 : x
  2. Step 2: Convert to fraction form
    2,596.35/3,582.88 = 1,417.41/x
  3. Step 3: Cross multiply
    2,596.35x = 3,582.88 × 1,417.41
  4. Step 4: Simplify right side
    2,596.35x = 5,078,409.94
  5. Step 5: Solve for x
    x = 5,078,409.94/2,596.35
  6. Step 6: Final answer
    x = 1,955.98

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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.