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Finding the Fourth Proportional to 1,846.01, 2,547.43 and 1,038.44

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Solution

The fourth proportional to 1,846.01, 2,547.43 and 1,038.44 is: 1,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.01 : 2,547.43 = 1,038.44 : x
  2. Step 2: Convert to fraction form
    1,846.01/2,547.43 = 1,038.44/x
  3. Step 3: Cross multiply
    1,846.01x = 2,547.43 × 1,038.44
  4. Step 4: Simplify right side
    1,846.01x = 2,645,356.98
  5. Step 5: Solve for x
    x = 2,645,356.98/1,846.01
  6. Step 6: Final answer
    x = 1,433.01

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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.