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Finding the Fourth Proportional to 1,847.44, 2,547.39 and 1,510.30

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Solution

The fourth proportional to 1,847.44, 2,547.39 and 1,510.30 is: 2,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.44 : 2,547.39 = 1,510.30 : x
  2. Step 2: Convert to fraction form
    1,847.44/2,547.39 = 1,510.30/x
  3. Step 3: Cross multiply
    1,847.44x = 2,547.39 × 1,510.30
  4. Step 4: Simplify right side
    1,847.44x = 3,847,323.12
  5. Step 5: Solve for x
    x = 3,847,323.12/1,847.44
  6. Step 6: Final answer
    x = 2,082.52

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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.