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Finding the Fourth Proportional to 1,555.07, 2,145.95 and 846.93

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Solution

The fourth proportional to 1,555.07, 2,145.95 and 846.93 is: 1,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.07 : 2,145.95 = 846.93 : x
  2. Step 2: Convert to fraction form
    1,555.07/2,145.95 = 846.93/x
  3. Step 3: Cross multiply
    1,555.07x = 2,145.95 × 846.93
  4. Step 4: Simplify right side
    1,555.07x = 1,817,463.50
  5. Step 5: Solve for x
    x = 1,817,463.50/1,555.07
  6. Step 6: Final answer
    x = 1,168.74

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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.