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Finding the Fourth Proportional to 1,783.95, 2,462.38 and 1,038.24

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Solution

The fourth proportional to 1,783.95, 2,462.38 and 1,038.24 is: 1,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.95 : 2,462.38 = 1,038.24 : x
  2. Step 2: Convert to fraction form
    1,783.95/2,462.38 = 1,038.24/x
  3. Step 3: Cross multiply
    1,783.95x = 2,462.38 × 1,038.24
  4. Step 4: Simplify right side
    1,783.95x = 2,556,538.82
  5. Step 5: Solve for x
    x = 2,556,538.82/1,783.95
  6. Step 6: Final answer
    x = 1,433.08

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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.