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Finding the Fourth Proportional to 1,547.85, 2,135.28 and 1,128

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Solution

The fourth proportional to 1,547.85, 2,135.28 and 1,128 is: 1,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.85 : 2,135.28 = 1,128 : x
  2. Step 2: Convert to fraction form
    1,547.85/2,135.28 = 1,128/x
  3. Step 3: Cross multiply
    1,547.85x = 2,135.28 × 1,128
  4. Step 4: Simplify right side
    1,547.85x = 2,408,595.84
  5. Step 5: Solve for x
    x = 2,408,595.84/1,547.85
  6. Step 6: Final answer
    x = 1,556.09

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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.