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Finding the Fourth Proportional to 1,698.95, 2,548.40 and 1,032

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Solution

The fourth proportional to 1,698.95, 2,548.40 and 1,032 is: 1,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.95 : 2,548.40 = 1,032 : x
  2. Step 2: Convert to fraction form
    1,698.95/2,548.40 = 1,032/x
  3. Step 3: Cross multiply
    1,698.95x = 2,548.40 × 1,032
  4. Step 4: Simplify right side
    1,698.95x = 2,629,943.64
  5. Step 5: Solve for x
    x = 2,629,943.64/1,698.95
  6. Step 6: Final answer
    x = 1,547.99

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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.