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Finding the Fourth Proportional to 1,873.09, 2,584.05 and 1,210.01

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Solution

The fourth proportional to 1,873.09, 2,584.05 and 1,210.01 is: 1,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.09 : 2,584.05 = 1,210.01 : x
  2. Step 2: Convert to fraction form
    1,873.09/2,584.05 = 1,210.01/x
  3. Step 3: Cross multiply
    1,873.09x = 2,584.05 × 1,210.01
  4. Step 4: Simplify right side
    1,873.09x = 3,126,715.69
  5. Step 5: Solve for x
    x = 3,126,715.69/1,873.09
  6. Step 6: Final answer
    x = 1,669.28

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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.