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Finding the Fourth Proportional to 1,653.69, 2,477.15 and 923.65

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Solution

The fourth proportional to 1,653.69, 2,477.15 and 923.65 is: 1,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.69 : 2,477.15 = 923.65 : x
  2. Step 2: Convert to fraction form
    1,653.69/2,477.15 = 923.65/x
  3. Step 3: Cross multiply
    1,653.69x = 2,477.15 × 923.65
  4. Step 4: Simplify right side
    1,653.69x = 2,288,019.60
  5. Step 5: Solve for x
    x = 2,288,019.60/1,653.69
  6. Step 6: Final answer
    x = 1,383.58

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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.