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Finding the Fourth Proportional to 1,859.58, 2,564.52 and 1,362.06

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Solution

The fourth proportional to 1,859.58, 2,564.52 and 1,362.06 is: 1,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.58 : 2,564.52 = 1,362.06 : x
  2. Step 2: Convert to fraction form
    1,859.58/2,564.52 = 1,362.06/x
  3. Step 3: Cross multiply
    1,859.58x = 2,564.52 × 1,362.06
  4. Step 4: Simplify right side
    1,859.58x = 3,493,030.11
  5. Step 5: Solve for x
    x = 3,493,030.11/1,859.58
  6. Step 6: Final answer
    x = 1,878.40

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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.