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Finding the Fourth Proportional to 1,629.94, 2,448.18 and 973.10

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Solution

The fourth proportional to 1,629.94, 2,448.18 and 973.10 is: 1,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.94 : 2,448.18 = 973.10 : x
  2. Step 2: Convert to fraction form
    1,629.94/2,448.18 = 973.10/x
  3. Step 3: Cross multiply
    1,629.94x = 2,448.18 × 973.10
  4. Step 4: Simplify right side
    1,629.94x = 2,382,319.09
  5. Step 5: Solve for x
    x = 2,382,319.09/1,629.94
  6. Step 6: Final answer
    x = 1,461.60

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1.5x scale

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.