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Finding the Fourth Proportional to 1,204.77, 1,810.40 and 1,010.64

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Solution

The fourth proportional to 1,204.77, 1,810.40 and 1,010.64 is: 1,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.77 : 1,810.40 = 1,010.64 : x
  2. Step 2: Convert to fraction form
    1,204.77/1,810.40 = 1,010.64/x
  3. Step 3: Cross multiply
    1,204.77x = 1,810.40 × 1,010.64
  4. Step 4: Simplify right side
    1,204.77x = 1,829,657.60
  5. Step 5: Solve for x
    x = 1,829,657.60/1,204.77
  6. Step 6: Final answer
    x = 1,518.68

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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.