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Finding the Fourth Proportional to 1,555.08, 2,146.02 and 846.93

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Solution

The fourth proportional to 1,555.08, 2,146.02 and 846.93 is: 1,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.08 : 2,146.02 = 846.93 : x
  2. Step 2: Convert to fraction form
    1,555.08/2,146.02 = 846.93/x
  3. Step 3: Cross multiply
    1,555.08x = 2,146.02 × 846.93
  4. Step 4: Simplify right side
    1,555.08x = 1,817,528.72
  5. Step 5: Solve for x
    x = 1,817,528.72/1,555.08
  6. Step 6: Final answer
    x = 1,168.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.