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Finding the Fourth Proportional to 1,852.57, 2,779.38 and 1,031.43

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Solution

The fourth proportional to 1,852.57, 2,779.38 and 1,031.43 is: 1,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.57 : 2,779.38 = 1,031.43 : x
  2. Step 2: Convert to fraction form
    1,852.57/2,779.38 = 1,031.43/x
  3. Step 3: Cross multiply
    1,852.57x = 2,779.38 × 1,031.43
  4. Step 4: Simplify right side
    1,852.57x = 2,866,746.34
  5. Step 5: Solve for x
    x = 2,866,746.34/1,852.57
  6. Step 6: Final answer
    x = 1,547.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.