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Finding the Fourth Proportional to 1,547.30, 2,318.83 and 1,509.03

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Solution

The fourth proportional to 1,547.30, 2,318.83 and 1,509.03 is: 2,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.30 : 2,318.83 = 1,509.03 : x
  2. Step 2: Convert to fraction form
    1,547.30/2,318.83 = 1,509.03/x
  3. Step 3: Cross multiply
    1,547.30x = 2,318.83 × 1,509.03
  4. Step 4: Simplify right side
    1,547.30x = 3,499,180.26
  5. Step 5: Solve for x
    x = 3,499,180.26/1,547.30
  6. Step 6: Final answer
    x = 2,261.47

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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.