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Finding the Fourth Proportional to 1,577.70, 2,178.16 and 1,019.00

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Solution

The fourth proportional to 1,577.70, 2,178.16 and 1,019.00 is: 1,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.70 : 2,178.16 = 1,019.00 : x
  2. Step 2: Convert to fraction form
    1,577.70/2,178.16 = 1,019.00/x
  3. Step 3: Cross multiply
    1,577.70x = 2,178.16 × 1,019.00
  4. Step 4: Simplify right side
    1,577.70x = 2,219,547.94
  5. Step 5: Solve for x
    x = 2,219,547.94/1,577.70
  6. Step 6: Final answer
    x = 1,406.83

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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.