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Finding the Fourth Proportional to 2,066.58, 2,852.01 and 1,135.08

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Solution

The fourth proportional to 2,066.58, 2,852.01 and 1,135.08 is: 1,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.58 : 2,852.01 = 1,135.08 : x
  2. Step 2: Convert to fraction form
    2,066.58/2,852.01 = 1,135.08/x
  3. Step 3: Cross multiply
    2,066.58x = 2,852.01 × 1,135.08
  4. Step 4: Simplify right side
    2,066.58x = 3,237,259.51
  5. Step 5: Solve for x
    x = 3,237,259.51/2,066.58
  6. Step 6: Final answer
    x = 1,566.48

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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.