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Finding the Fourth Proportional to 1,845.97, 2,547.50 and 1,006.72

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Solution

The fourth proportional to 1,845.97, 2,547.50 and 1,006.72 is: 1,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.97 : 2,547.50 = 1,006.72 : x
  2. Step 2: Convert to fraction form
    1,845.97/2,547.50 = 1,006.72/x
  3. Step 3: Cross multiply
    1,845.97x = 2,547.50 × 1,006.72
  4. Step 4: Simplify right side
    1,845.97x = 2,564,616.34
  5. Step 5: Solve for x
    x = 2,564,616.34/1,845.97
  6. Step 6: Final answer
    x = 1,389.31

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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.