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Finding the Fourth Proportional to 1,988.96, 2,987.98 and 1,405.30

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Solution

The fourth proportional to 1,988.96, 2,987.98 and 1,405.30 is: 2,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.96 : 2,987.98 = 1,405.30 : x
  2. Step 2: Convert to fraction form
    1,988.96/2,987.98 = 1,405.30/x
  3. Step 3: Cross multiply
    1,988.96x = 2,987.98 × 1,405.30
  4. Step 4: Simplify right side
    1,988.96x = 4,199,008.29
  5. Step 5: Solve for x
    x = 4,199,008.29/1,988.96
  6. Step 6: Final answer
    x = 2,111.16

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Why These Related Problems?

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