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Finding the Fourth Proportional to 1,710.37, 2,565.55 and 1,320.94

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Solution

The fourth proportional to 1,710.37, 2,565.55 and 1,320.94 is: 1,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.37 : 2,565.55 = 1,320.94 : x
  2. Step 2: Convert to fraction form
    1,710.37/2,565.55 = 1,320.94/x
  3. Step 3: Cross multiply
    1,710.37x = 2,565.55 × 1,320.94
  4. Step 4: Simplify right side
    1,710.37x = 3,388,937.62
  5. Step 5: Solve for x
    x = 3,388,937.62/1,710.37
  6. Step 6: Final answer
    x = 1,981.41

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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.