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Finding the Fourth Proportional to 2,607, 3,597.66 and 1,428.11

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Solution

The fourth proportional to 2,607, 3,597.66 and 1,428.11 is: 1,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607 : 3,597.66 = 1,428.11 : x
  2. Step 2: Convert to fraction form
    2,607/3,597.66 = 1,428.11/x
  3. Step 3: Cross multiply
    2,607x = 3,597.66 × 1,428.11
  4. Step 4: Simplify right side
    2,607x = 5,137,863.22
  5. Step 5: Solve for x
    x = 5,137,863.22/2,607
  6. Step 6: Final answer
    x = 1,970.80

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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.