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Finding the Fourth Proportional to 1,210.50, 1,823.99 and 1,077.89

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Solution

The fourth proportional to 1,210.50, 1,823.99 and 1,077.89 is: 1,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.50 : 1,823.99 = 1,077.89 : x
  2. Step 2: Convert to fraction form
    1,210.50/1,823.99 = 1,077.89/x
  3. Step 3: Cross multiply
    1,210.50x = 1,823.99 × 1,077.89
  4. Step 4: Simplify right side
    1,210.50x = 1,966,046.07
  5. Step 5: Solve for x
    x = 1,966,046.07/1,210.50
  6. Step 6: Final answer
    x = 1,624.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.