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Finding the Fourth Proportional to 1,762.09, 2,431.51 and 1,053.79

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Solution

The fourth proportional to 1,762.09, 2,431.51 and 1,053.79 is: 1,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.09 : 2,431.51 = 1,053.79 : x
  2. Step 2: Convert to fraction form
    1,762.09/2,431.51 = 1,053.79/x
  3. Step 3: Cross multiply
    1,762.09x = 2,431.51 × 1,053.79
  4. Step 4: Simplify right side
    1,762.09x = 2,562,296.16
  5. Step 5: Solve for x
    x = 2,562,296.16/1,762.09
  6. Step 6: Final answer
    x = 1,454.13

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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.