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Finding the Fourth Proportional to 1,547.48, 2,134.80 and 957.80

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Solution

The fourth proportional to 1,547.48, 2,134.80 and 957.80 is: 1,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.48 : 2,134.80 = 957.80 : x
  2. Step 2: Convert to fraction form
    1,547.48/2,134.80 = 957.80/x
  3. Step 3: Cross multiply
    1,547.48x = 2,134.80 × 957.80
  4. Step 4: Simplify right side
    1,547.48x = 2,044,711.44
  5. Step 5: Solve for x
    x = 2,044,711.44/1,547.48
  6. Step 6: Final answer
    x = 1,321.32

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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.