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Finding the Fourth Proportional to 4,602.80, 6,904.36 and 1,482.77

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Solution

The fourth proportional to 4,602.80, 6,904.36 and 1,482.77 is: 2,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.80 : 6,904.36 = 1,482.77 : x
  2. Step 2: Convert to fraction form
    4,602.80/6,904.36 = 1,482.77/x
  3. Step 3: Cross multiply
    4,602.80x = 6,904.36 × 1,482.77
  4. Step 4: Simplify right side
    4,602.80x = 10,237,596.99
  5. Step 5: Solve for x
    x = 10,237,596.99/4,602.80
  6. Step 6: Final answer
    x = 2,224.21

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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.