Home / 1,582.93-2,374.40-1,038.56

Finding the Fourth Proportional to 1,582.93, 2,374.40 and 1,038.56

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Solution

The fourth proportional to 1,582.93, 2,374.40 and 1,038.56 is: 1,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.93 : 2,374.40 = 1,038.56 : x
  2. Step 2: Convert to fraction form
    1,582.93/2,374.40 = 1,038.56/x
  3. Step 3: Cross multiply
    1,582.93x = 2,374.40 × 1,038.56
  4. Step 4: Simplify right side
    1,582.93x = 2,465,956.86
  5. Step 5: Solve for x
    x = 2,465,956.86/1,582.93
  6. Step 6: Final answer
    x = 1,557.84

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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.