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Finding the Fourth Proportional to 1,246.92, 1,870.58 and 973.54

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Solution

The fourth proportional to 1,246.92, 1,870.58 and 973.54 is: 1,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.92 : 1,870.58 = 973.54 : x
  2. Step 2: Convert to fraction form
    1,246.92/1,870.58 = 973.54/x
  3. Step 3: Cross multiply
    1,246.92x = 1,870.58 × 973.54
  4. Step 4: Simplify right side
    1,246.92x = 1,821,084.45
  5. Step 5: Solve for x
    x = 1,821,084.45/1,246.92
  6. Step 6: Final answer
    x = 1,460.47

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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.