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Finding the Fourth Proportional to 1,547.37, 2,134.62 and 1,023.84

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Solution

The fourth proportional to 1,547.37, 2,134.62 and 1,023.84 is: 1,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.37 : 2,134.62 = 1,023.84 : x
  2. Step 2: Convert to fraction form
    1,547.37/2,134.62 = 1,023.84/x
  3. Step 3: Cross multiply
    1,547.37x = 2,134.62 × 1,023.84
  4. Step 4: Simplify right side
    1,547.37x = 2,185,509.34
  5. Step 5: Solve for x
    x = 2,185,509.34/1,547.37
  6. Step 6: Final answer
    x = 1,412.40

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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.