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Finding the Fourth Proportional to 1,672.40, 2,307.38 and 973.64

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Solution

The fourth proportional to 1,672.40, 2,307.38 and 973.64 is: 1,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.40 : 2,307.38 = 973.64 : x
  2. Step 2: Convert to fraction form
    1,672.40/2,307.38 = 973.64/x
  3. Step 3: Cross multiply
    1,672.40x = 2,307.38 × 973.64
  4. Step 4: Simplify right side
    1,672.40x = 2,246,541.06
  5. Step 5: Solve for x
    x = 2,246,541.06/1,672.40
  6. Step 6: Final answer
    x = 1,343.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.