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Finding the Fourth Proportional to 4,430.61, 6,647.07 and 1,657.50

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Solution

The fourth proportional to 4,430.61, 6,647.07 and 1,657.50 is: 2,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.61 : 6,647.07 = 1,657.50 : x
  2. Step 2: Convert to fraction form
    4,430.61/6,647.07 = 1,657.50/x
  3. Step 3: Cross multiply
    4,430.61x = 6,647.07 × 1,657.50
  4. Step 4: Simplify right side
    4,430.61x = 11,017,499.84
  5. Step 5: Solve for x
    x = 11,017,499.84/4,430.61
  6. Step 6: Final answer
    x = 2,486.68

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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.