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Finding the Fourth Proportional to 2,360.47, 3,533.79 and 1,655.23

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Solution

The fourth proportional to 2,360.47, 3,533.79 and 1,655.23 is: 2,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.47 : 3,533.79 = 1,655.23 : x
  2. Step 2: Convert to fraction form
    2,360.47/3,533.79 = 1,655.23/x
  3. Step 3: Cross multiply
    2,360.47x = 3,533.79 × 1,655.23
  4. Step 4: Simplify right side
    2,360.47x = 5,849,235.22
  5. Step 5: Solve for x
    x = 5,849,235.22/2,360.47
  6. Step 6: Final answer
    x = 2,478.00

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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.