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Finding the Fourth Proportional to 1,646.48, 2,272.08 and 948.08

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Solution

The fourth proportional to 1,646.48, 2,272.08 and 948.08 is: 1,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.48 : 2,272.08 = 948.08 : x
  2. Step 2: Convert to fraction form
    1,646.48/2,272.08 = 948.08/x
  3. Step 3: Cross multiply
    1,646.48x = 2,272.08 × 948.08
  4. Step 4: Simplify right side
    1,646.48x = 2,154,113.61
  5. Step 5: Solve for x
    x = 2,154,113.61/1,646.48
  6. Step 6: Final answer
    x = 1,308.31

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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.