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Finding the Fourth Proportional to 1,685.93, 2,325.65 and 1,056.32

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Solution

The fourth proportional to 1,685.93, 2,325.65 and 1,056.32 is: 1,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.93 : 2,325.65 = 1,056.32 : x
  2. Step 2: Convert to fraction form
    1,685.93/2,325.65 = 1,056.32/x
  3. Step 3: Cross multiply
    1,685.93x = 2,325.65 × 1,056.32
  4. Step 4: Simplify right side
    1,685.93x = 2,456,621.62
  5. Step 5: Solve for x
    x = 2,456,621.62/1,685.93
  6. Step 6: Final answer
    x = 1,457.14

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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.