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Finding the Fourth Proportional to 2,975.95, 4,459.65 and 1,674.67

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Solution

The fourth proportional to 2,975.95, 4,459.65 and 1,674.67 is: 2,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.95 : 4,459.65 = 1,674.67 : x
  2. Step 2: Convert to fraction form
    2,975.95/4,459.65 = 1,674.67/x
  3. Step 3: Cross multiply
    2,975.95x = 4,459.65 × 1,674.67
  4. Step 4: Simplify right side
    2,975.95x = 7,468,442.07
  5. Step 5: Solve for x
    x = 7,468,442.07/2,975.95
  6. Step 6: Final answer
    x = 2,509.60

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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.