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Finding the Fourth Proportional to 1,334.07, 1,837.01 and 1,256.14

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Solution

The fourth proportional to 1,334.07, 1,837.01 and 1,256.14 is: 1,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.07 : 1,837.01 = 1,256.14 : x
  2. Step 2: Convert to fraction form
    1,334.07/1,837.01 = 1,256.14/x
  3. Step 3: Cross multiply
    1,334.07x = 1,837.01 × 1,256.14
  4. Step 4: Simplify right side
    1,334.07x = 2,307,547.18
  5. Step 5: Solve for x
    x = 2,307,547.18/1,334.07
  6. Step 6: Final answer
    x = 1,729.70

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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.