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Finding the Fourth Proportional to 1,345.24, 2,017.62 and 358.06

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Solution

The fourth proportional to 1,345.24, 2,017.62 and 358.06 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.24 : 2,017.62 = 358.06 : x
  2. Step 2: Convert to fraction form
    1,345.24/2,017.62 = 358.06/x
  3. Step 3: Cross multiply
    1,345.24x = 2,017.62 × 358.06
  4. Step 4: Simplify right side
    1,345.24x = 722,429.02
  5. Step 5: Solve for x
    x = 722,429.02/1,345.24
  6. Step 6: Final answer
    x = 537.03

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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.