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Finding the Fourth Proportional to 3,210.48, 4,814.76 and 1,158

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Solution

The fourth proportional to 3,210.48, 4,814.76 and 1,158 is: 1,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.48 : 4,814.76 = 1,158 : x
  2. Step 2: Convert to fraction form
    3,210.48/4,814.76 = 1,158/x
  3. Step 3: Cross multiply
    3,210.48x = 4,814.76 × 1,158
  4. Step 4: Simplify right side
    3,210.48x = 5,575,492.08
  5. Step 5: Solve for x
    x = 5,575,492.08/3,210.48
  6. Step 6: Final answer
    x = 1,736.65

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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.