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Finding the Fourth Proportional to 4,205.17, 6,307.80 and 1,607.50

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Solution

The fourth proportional to 4,205.17, 6,307.80 and 1,607.50 is: 2,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.17 : 6,307.80 = 1,607.50 : x
  2. Step 2: Convert to fraction form
    4,205.17/6,307.80 = 1,607.50/x
  3. Step 3: Cross multiply
    4,205.17x = 6,307.80 × 1,607.50
  4. Step 4: Simplify right side
    4,205.17x = 10,139,788.50
  5. Step 5: Solve for x
    x = 10,139,788.50/4,205.17
  6. Step 6: Final answer
    x = 2,411.27

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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.