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Finding the Fourth Proportional to 1,913.86, 2,870.92 and 527.30

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Solution

The fourth proportional to 1,913.86, 2,870.92 and 527.30 is: 790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.86 : 2,870.92 = 527.30 : x
  2. Step 2: Convert to fraction form
    1,913.86/2,870.92 = 527.30/x
  3. Step 3: Cross multiply
    1,913.86x = 2,870.92 × 527.30
  4. Step 4: Simplify right side
    1,913.86x = 1,513,821.76
  5. Step 5: Solve for x
    x = 1,513,821.76/1,913.86
  6. Step 6: Final answer
    x = 790.98

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