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Finding the Fourth Proportional to 2,875.48, 4,312.14 and 1,026.10

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Solution

The fourth proportional to 2,875.48, 4,312.14 and 1,026.10 is: 1,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.48 : 4,312.14 = 1,026.10 : x
  2. Step 2: Convert to fraction form
    2,875.48/4,312.14 = 1,026.10/x
  3. Step 3: Cross multiply
    2,875.48x = 4,312.14 × 1,026.10
  4. Step 4: Simplify right side
    2,875.48x = 4,424,686.85
  5. Step 5: Solve for x
    x = 4,424,686.85/2,875.48
  6. Step 6: Final answer
    x = 1,538.76

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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.