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Finding the Fourth Proportional to 1,683.77, 2,325.07 and 1,055.37

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Solution

The fourth proportional to 1,683.77, 2,325.07 and 1,055.37 is: 1,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.77 : 2,325.07 = 1,055.37 : x
  2. Step 2: Convert to fraction form
    1,683.77/2,325.07 = 1,055.37/x
  3. Step 3: Cross multiply
    1,683.77x = 2,325.07 × 1,055.37
  4. Step 4: Simplify right side
    1,683.77x = 2,453,815.21
  5. Step 5: Solve for x
    x = 2,453,815.21/1,683.77
  6. Step 6: Final answer
    x = 1,457.34

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Why These Related Problems?

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