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Finding the Fourth Proportional to 1,846.03, 2,547.51 and 1,006.71

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Solution

The fourth proportional to 1,846.03, 2,547.51 and 1,006.71 is: 1,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.03 : 2,547.51 = 1,006.71 : x
  2. Step 2: Convert to fraction form
    1,846.03/2,547.51 = 1,006.71/x
  3. Step 3: Cross multiply
    1,846.03x = 2,547.51 × 1,006.71
  4. Step 4: Simplify right side
    1,846.03x = 2,564,609.57
  5. Step 5: Solve for x
    x = 2,564,609.57/1,846.03
  6. Step 6: Final answer
    x = 1,389.26

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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.