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Finding the Fourth Proportional to 2,596.53, 3,582.74 and 1,461.87

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Solution

The fourth proportional to 2,596.53, 3,582.74 and 1,461.87 is: 2,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.53 : 3,582.74 = 1,461.87 : x
  2. Step 2: Convert to fraction form
    2,596.53/3,582.74 = 1,461.87/x
  3. Step 3: Cross multiply
    2,596.53x = 3,582.74 × 1,461.87
  4. Step 4: Simplify right side
    2,596.53x = 5,237,492.81
  5. Step 5: Solve for x
    x = 5,237,492.81/2,596.53
  6. Step 6: Final answer
    x = 2,017.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.