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Finding the Fourth Proportional to 4,602.64, 6,905.08 and 1,482.66

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Solution

The fourth proportional to 4,602.64, 6,905.08 and 1,482.66 is: 2,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.64 : 6,905.08 = 1,482.66 : x
  2. Step 2: Convert to fraction form
    4,602.64/6,905.08 = 1,482.66/x
  3. Step 3: Cross multiply
    4,602.64x = 6,905.08 × 1,482.66
  4. Step 4: Simplify right side
    4,602.64x = 10,237,885.91
  5. Step 5: Solve for x
    x = 10,237,885.91/4,602.64
  6. Step 6: Final answer
    x = 2,224.35

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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.