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Finding the Fourth Proportional to 2,290.60, 3,436.59 and 973.66

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Solution

The fourth proportional to 2,290.60, 3,436.59 and 973.66 is: 1,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.60 : 3,436.59 = 973.66 : x
  2. Step 2: Convert to fraction form
    2,290.60/3,436.59 = 973.66/x
  3. Step 3: Cross multiply
    2,290.60x = 3,436.59 × 973.66
  4. Step 4: Simplify right side
    2,290.60x = 3,346,070.22
  5. Step 5: Solve for x
    x = 3,346,070.22/2,290.60
  6. Step 6: Final answer
    x = 1,460.78

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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.