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Finding the Fourth Proportional to 2,547.12, 3,820.65 and 698.18

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Solution

The fourth proportional to 2,547.12, 3,820.65 and 698.18 is: 1,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.12 : 3,820.65 = 698.18 : x
  2. Step 2: Convert to fraction form
    2,547.12/3,820.65 = 698.18/x
  3. Step 3: Cross multiply
    2,547.12x = 3,820.65 × 698.18
  4. Step 4: Simplify right side
    2,547.12x = 2,667,482.31
  5. Step 5: Solve for x
    x = 2,667,482.31/2,547.12
  6. Step 6: Final answer
    x = 1,047.25

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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.