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Finding the Fourth Proportional to 1,665.09, 2,298.95 and 1,106.65

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Solution

The fourth proportional to 1,665.09, 2,298.95 and 1,106.65 is: 1,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.09 : 2,298.95 = 1,106.65 : x
  2. Step 2: Convert to fraction form
    1,665.09/2,298.95 = 1,106.65/x
  3. Step 3: Cross multiply
    1,665.09x = 2,298.95 × 1,106.65
  4. Step 4: Simplify right side
    1,665.09x = 2,544,133.02
  5. Step 5: Solve for x
    x = 2,544,133.02/1,665.09
  6. Step 6: Final answer
    x = 1,527.93

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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.