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Finding the Fourth Proportional to 1,549.10, 2,320.68 and 897.86

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Solution

The fourth proportional to 1,549.10, 2,320.68 and 897.86 is: 1,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.10 : 2,320.68 = 897.86 : x
  2. Step 2: Convert to fraction form
    1,549.10/2,320.68 = 897.86/x
  3. Step 3: Cross multiply
    1,549.10x = 2,320.68 × 897.86
  4. Step 4: Simplify right side
    1,549.10x = 2,083,645.74
  5. Step 5: Solve for x
    x = 2,083,645.74/1,549.10
  6. Step 6: Final answer
    x = 1,345.07

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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.