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Finding the Fourth Proportional to 2,599.16, 3,898.74 and 651.35

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Solution

The fourth proportional to 2,599.16, 3,898.74 and 651.35 is: 977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.16 : 3,898.74 = 651.35 : x
  2. Step 2: Convert to fraction form
    2,599.16/3,898.74 = 651.35/x
  3. Step 3: Cross multiply
    2,599.16x = 3,898.74 × 651.35
  4. Step 4: Simplify right side
    2,599.16x = 2,539,424.81
  5. Step 5: Solve for x
    x = 2,539,424.81/2,599.16
  6. Step 6: Final answer
    x = 977.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.