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Finding the Fourth Proportional to 1,603.41, 2,406.93 and 1,497.70

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Solution

The fourth proportional to 1,603.41, 2,406.93 and 1,497.70 is: 2,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.41 : 2,406.93 = 1,497.70 : x
  2. Step 2: Convert to fraction form
    1,603.41/2,406.93 = 1,497.70/x
  3. Step 3: Cross multiply
    1,603.41x = 2,406.93 × 1,497.70
  4. Step 4: Simplify right side
    1,603.41x = 3,604,859.06
  5. Step 5: Solve for x
    x = 3,604,859.06/1,603.41
  6. Step 6: Final answer
    x = 2,248.25

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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.