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Finding the Fourth Proportional to 1,482.06, 2,045.21 and 818.90

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Solution

The fourth proportional to 1,482.06, 2,045.21 and 818.90 is: 1,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.06 : 2,045.21 = 818.90 : x
  2. Step 2: Convert to fraction form
    1,482.06/2,045.21 = 818.90/x
  3. Step 3: Cross multiply
    1,482.06x = 2,045.21 × 818.90
  4. Step 4: Simplify right side
    1,482.06x = 1,674,822.47
  5. Step 5: Solve for x
    x = 1,674,822.47/1,482.06
  6. Step 6: Final answer
    x = 1,130.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.