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Finding the Fourth Proportional to 1,577.00, 2,360.63 and 1,028.00

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Solution

The fourth proportional to 1,577.00, 2,360.63 and 1,028.00 is: 1,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.00 : 2,360.63 = 1,028.00 : x
  2. Step 2: Convert to fraction form
    1,577.00/2,360.63 = 1,028.00/x
  3. Step 3: Cross multiply
    1,577.00x = 2,360.63 × 1,028.00
  4. Step 4: Simplify right side
    1,577.00x = 2,426,710.70
  5. Step 5: Solve for x
    x = 2,426,710.70/1,577.00
  6. Step 6: Final answer
    x = 1,538.82

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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.