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Finding the Fourth Proportional to 1,667.25, 2,506.28 and 1,547.01

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Solution

The fourth proportional to 1,667.25, 2,506.28 and 1,547.01 is: 2,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.25 : 2,506.28 = 1,547.01 : x
  2. Step 2: Convert to fraction form
    1,667.25/2,506.28 = 1,547.01/x
  3. Step 3: Cross multiply
    1,667.25x = 2,506.28 × 1,547.01
  4. Step 4: Simplify right side
    1,667.25x = 3,877,232.49
  5. Step 5: Solve for x
    x = 3,877,232.49/1,667.25
  6. Step 6: Final answer
    x = 2,325.53

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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.