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Finding the Fourth Proportional to 1,430.95, 2,146.77 and 846.43

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Solution

The fourth proportional to 1,430.95, 2,146.77 and 846.43 is: 1,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.95 : 2,146.77 = 846.43 : x
  2. Step 2: Convert to fraction form
    1,430.95/2,146.77 = 846.43/x
  3. Step 3: Cross multiply
    1,430.95x = 2,146.77 × 846.43
  4. Step 4: Simplify right side
    1,430.95x = 1,817,090.53
  5. Step 5: Solve for x
    x = 1,817,090.53/1,430.95
  6. Step 6: Final answer
    x = 1,269.85

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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.