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Finding the Fourth Proportional to 1,465.83, 2,199.98 and 1,373.46

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Solution

The fourth proportional to 1,465.83, 2,199.98 and 1,373.46 is: 2,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.83 : 2,199.98 = 1,373.46 : x
  2. Step 2: Convert to fraction form
    1,465.83/2,199.98 = 1,373.46/x
  3. Step 3: Cross multiply
    1,465.83x = 2,199.98 × 1,373.46
  4. Step 4: Simplify right side
    1,465.83x = 3,021,590.55
  5. Step 5: Solve for x
    x = 3,021,590.55/1,465.83
  6. Step 6: Final answer
    x = 2,061.35

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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.