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Finding the Fourth Proportional to 1,473.40, 2,031.72 and 975.88

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Solution

The fourth proportional to 1,473.40, 2,031.72 and 975.88 is: 1,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.40 : 2,031.72 = 975.88 : x
  2. Step 2: Convert to fraction form
    1,473.40/2,031.72 = 975.88/x
  3. Step 3: Cross multiply
    1,473.40x = 2,031.72 × 975.88
  4. Step 4: Simplify right side
    1,473.40x = 1,982,714.91
  5. Step 5: Solve for x
    x = 1,982,714.91/1,473.40
  6. Step 6: Final answer
    x = 1,345.67

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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.