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Finding the Fourth Proportional to 1,246.87, 1,870.30 and 973.19

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Solution

The fourth proportional to 1,246.87, 1,870.30 and 973.19 is: 1,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.87 : 1,870.30 = 973.19 : x
  2. Step 2: Convert to fraction form
    1,246.87/1,870.30 = 973.19/x
  3. Step 3: Cross multiply
    1,246.87x = 1,870.30 × 973.19
  4. Step 4: Simplify right side
    1,246.87x = 1,820,145.47
  5. Step 5: Solve for x
    x = 1,820,145.47/1,246.87
  6. Step 6: Final answer
    x = 1,459.77

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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.