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Finding the Fourth Proportional to 1,852.69, 2,554.63 and 1,411.65

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Solution

The fourth proportional to 1,852.69, 2,554.63 and 1,411.65 is: 1,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.69 : 2,554.63 = 1,411.65 : x
  2. Step 2: Convert to fraction form
    1,852.69/2,554.63 = 1,411.65/x
  3. Step 3: Cross multiply
    1,852.69x = 2,554.63 × 1,411.65
  4. Step 4: Simplify right side
    1,852.69x = 3,606,243.44
  5. Step 5: Solve for x
    x = 3,606,243.44/1,852.69
  6. Step 6: Final answer
    x = 1,946.49

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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.