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Finding the Fourth Proportional to 1,913.75, 2,870.68 and 527.07

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Solution

The fourth proportional to 1,913.75, 2,870.68 and 527.07 is: 790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.75 : 2,870.68 = 527.07 : x
  2. Step 2: Convert to fraction form
    1,913.75/2,870.68 = 527.07/x
  3. Step 3: Cross multiply
    1,913.75x = 2,870.68 × 527.07
  4. Step 4: Simplify right side
    1,913.75x = 1,513,047.99
  5. Step 5: Solve for x
    x = 1,513,047.99/1,913.75
  6. Step 6: Final answer
    x = 790.62

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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.