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Finding the Fourth Proportional to 4,602.29, 6,903.68 and 1,482.06

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Solution

The fourth proportional to 4,602.29, 6,903.68 and 1,482.06 is: 2,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.29 : 6,903.68 = 1,482.06 : x
  2. Step 2: Convert to fraction form
    4,602.29/6,903.68 = 1,482.06/x
  3. Step 3: Cross multiply
    4,602.29x = 6,903.68 × 1,482.06
  4. Step 4: Simplify right side
    4,602.29x = 10,231,686.46
  5. Step 5: Solve for x
    x = 10,231,686.46/4,602.29
  6. Step 6: Final answer
    x = 2,223.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.