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Finding the Fourth Proportional to 2,735.51, 3,779.94 and 1,948.19

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Solution

The fourth proportional to 2,735.51, 3,779.94 and 1,948.19 is: 2,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.51 : 3,779.94 = 1,948.19 : x
  2. Step 2: Convert to fraction form
    2,735.51/3,779.94 = 1,948.19/x
  3. Step 3: Cross multiply
    2,735.51x = 3,779.94 × 1,948.19
  4. Step 4: Simplify right side
    2,735.51x = 7,364,041.31
  5. Step 5: Solve for x
    x = 7,364,041.31/2,735.51
  6. Step 6: Final answer
    x = 2,692.02

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1.5x scale

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.