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Finding the Fourth Proportional to 1,547.68, 2,135.52 and 1,023.42

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Solution

The fourth proportional to 1,547.68, 2,135.52 and 1,023.42 is: 1,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.68 : 2,135.52 = 1,023.42 : x
  2. Step 2: Convert to fraction form
    1,547.68/2,135.52 = 1,023.42/x
  3. Step 3: Cross multiply
    1,547.68x = 2,135.52 × 1,023.42
  4. Step 4: Simplify right side
    1,547.68x = 2,185,533.88
  5. Step 5: Solve for x
    x = 2,185,533.88/1,547.68
  6. Step 6: Final answer
    x = 1,412.14

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