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Finding the Fourth Proportional to 1,712.93, 2,565.93 and 1,346

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Solution

The fourth proportional to 1,712.93, 2,565.93 and 1,346 is: 2,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.93 : 2,565.93 = 1,346 : x
  2. Step 2: Convert to fraction form
    1,712.93/2,565.93 = 1,346/x
  3. Step 3: Cross multiply
    1,712.93x = 2,565.93 × 1,346
  4. Step 4: Simplify right side
    1,712.93x = 3,453,741.78
  5. Step 5: Solve for x
    x = 3,453,741.78/1,712.93
  6. Step 6: Final answer
    x = 2,016.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.