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Finding the Fourth Proportional to 2,145.61, 3,216.02 and 973.86

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Solution

The fourth proportional to 2,145.61, 3,216.02 and 973.86 is: 1,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.61 : 3,216.02 = 973.86 : x
  2. Step 2: Convert to fraction form
    2,145.61/3,216.02 = 973.86/x
  3. Step 3: Cross multiply
    2,145.61x = 3,216.02 × 973.86
  4. Step 4: Simplify right side
    2,145.61x = 3,131,937.16
  5. Step 5: Solve for x
    x = 3,131,937.16/2,145.61
  6. Step 6: Final answer
    x = 1,459.70

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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.