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Finding the Fourth Proportional to 2,547.02, 3,820.40 and 698.10

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Solution

The fourth proportional to 2,547.02, 3,820.40 and 698.10 is: 1,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.02 : 3,820.40 = 698.10 : x
  2. Step 2: Convert to fraction form
    2,547.02/3,820.40 = 698.10/x
  3. Step 3: Cross multiply
    2,547.02x = 3,820.40 × 698.10
  4. Step 4: Simplify right side
    2,547.02x = 2,667,017.75
  5. Step 5: Solve for x
    x = 2,667,017.75/2,547.02
  6. Step 6: Final answer
    x = 1,047.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.