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Finding the Fourth Proportional to 1,846.26, 2,547.90 and 1,007.03

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Solution

The fourth proportional to 1,846.26, 2,547.90 and 1,007.03 is: 1,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.26 : 2,547.90 = 1,007.03 : x
  2. Step 2: Convert to fraction form
    1,846.26/2,547.90 = 1,007.03/x
  3. Step 3: Cross multiply
    1,846.26x = 2,547.90 × 1,007.03
  4. Step 4: Simplify right side
    1,846.26x = 2,565,818.11
  5. Step 5: Solve for x
    x = 2,565,818.11/1,846.26
  6. Step 6: Final answer
    x = 1,389.74

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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.